Search a number
-
+
3376469309280 = 25351312409901
BaseRepresentation
bin110001001000100101010…
…000001111011101100000
3102221210020221200201001020
4301020211100033131200
5420310002120344110
611103043435205440
7465641025405204
oct61104520173540
912853227621036
103376469309280
111091a5299a941
124664708a6880
131b652716c7c2
14b95c9d06b04
155cc6a450d70
hex3122540f760

3376469309280 has 144 divisors (see below), whose sum is σ = 10717714152432. Its totient is φ = 893516416000.

The previous prime is 3376469309263. The next prime is 3376469309287. The reversal of 3376469309280 is 829039646733.

It is a super-2 number, since 2×33764693092802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376469309287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8032330 + ... + 8442230.

It is an arithmetic number, because the mean of its divisors is an integer number (74428570503).

Almost surely, 23376469309280 is an apocalyptic number.

3376469309280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376469309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358857076216).

3376469309280 is an abundant number, since it is smaller than the sum of its proper divisors (7341244843152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3376469309280 is a wasteful number, since it uses less digits than its factorization.

3376469309280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410181 (or 410042 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 60.

The spelling of 3376469309280 in words is "three trillion, three hundred seventy-six billion, four hundred sixty-nine million, three hundred nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 17161 20960 31440 34322 51483 62880 68644 85805 102966 137288 171610 205932 257415 274576 343220 409901 411864 514830 549152 686440 819802 823728 1029660 1229703 1372880 1639604 1647456 2049505 2059320 2459406 2745760 3279208 4099010 4118640 4918812 6148515 6558416 8198020 8237280 9837624 12297030 13116832 16396040 19675248 24594060 32792080 39350496 49188120 53697031 65584160 98376240 107394062 161091093 196752480 214788124 268485155 322182186 429576248 536970310 644364372 805455465 859152496 1073940620 1288728744 1610910930 1718304992 2147881240 2577457488 3221821860 4295762480 5154914976 6443643720 7034311061 8591524960 12887287440 14068622122 21102933183 25774574880 28137244244 35171555305 42205866366 56274488488 70343110610 84411732732 105514665915 112548976976 140686221220 168823465464 211029331830 225097953952 281372442440 337646930928 422058663660 562744884880 675293861856 844117327320 1125489769760 1688234654640 3376469309280