Search a number
-
+
3320141310 = 2325172394349
BaseRepresentation
bin1100010111100101…
…0101010111111110
322120101102122122200
43011321111113332
523244424010220
61305242052330
7145163510163
oct30571252776
98511378580
103320141310
111454151342
12787aaa0a6
1340bb14b75
14236d4006a
15146730890
hexc5e555fe

3320141310 has 96 divisors (see below), whose sum is σ = 9537652800. Its totient is φ = 797051904.

The previous prime is 3320141309. The next prime is 3320141353. The reversal of 3320141310 is 131410233.

It is a super-2 number, since 2×33201413102 = 22046676636737032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11985 + ... + 82364.

It is an arithmetic number, because the mean of its divisors is an integer number (99350550).

Almost surely, 23320141310 is an apocalyptic number.

3320141310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768826400).

3320141310 is an abundant number, since it is smaller than the sum of its proper divisors (6217511490).

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

3320141310 is a wasteful number, since it uses less digits than its factorization.

3320141310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94402 (or 94399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3320141310 is about 57620.6673859302. The cubic root of 3320141310 is about 1491.8283502669.

Adding to 3320141310 its reverse (131410233), we get a palindrome (3451551543).

The spelling of 3320141310 in words is "three billion, three hundred twenty million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 11730 17595 35190 94349 188698 283047 471745 566094 849141 943490 1415235 1603933 1698282 2170027 2830470 3207866 4245705 4340054 4811799 6510081 8019665 8491410 9623598 10850135 13020162 14435397 16039330 19530243 21700270 24058995 28870794 32550405 36890459 39060486 48117990 65100810 72176985 73780918 97651215 110671377 144353970 184452295 195302430 221342754 332014131 368904590 553356885 664028262 1106713770 1660070655 3320141310