Search a number
-
+
3108370144 = 251123216693
BaseRepresentation
bin1011100101000101…
…1111011011100000
322000121221120020011
42321101133123200
522331220321034
61232235054304
7140012465425
oct27121373340
98017846204
103108370144
111355659550
12728ba1394
133a6c98a99
14216b75d4c
15132d4d864
hexb945f6e0

3108370144 has 72 divisors (see below), whose sum is σ = 6979227192. Its totient is φ = 1351384320.

The previous prime is 3108370091. The next prime is 3108370147. The reversal of 3108370144 is 4410738013.

It is a super-2 number, since 2×31083701442 = 19323929904221161472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3108370147) 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 11 ways as a sum of consecutive naturals, for example, 177862 + ... + 194554.

It is an arithmetic number, because the mean of its divisors is an integer number (96933711).

Almost surely, 23108370144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3108370144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489613596).

3108370144 is an abundant number, since it is smaller than the sum of its proper divisors (3870857048).

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

3108370144 is a wasteful number, since it uses less digits than its factorization.

3108370144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16760 (or 16729 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 3108370144 is about 55752.7590707402. The cubic root of 3108370144 is about 1459.4108688331.

The spelling of 3108370144 in words is "three billion, one hundred eight million, three hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 529 736 1012 1058 2024 2116 4048 4232 5819 8096 8464 11638 16693 16928 23276 33386 46552 66772 93104 133544 183623 186208 267088 367246 383939 534176 734492 767878 1468984 1535756 2937968 3071512 4223329 5875936 6143024 8446658 8830597 12286048 16893316 17661194 33786632 35322388 67573264 70644776 97136567 135146528 141289552 194273134 282579104 388546268 777092536 1554185072 3108370144