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376690944 = 2837411709
BaseRepresentation
bin10110011100111…
…101100100000000
3222020210212211110
4112130331210000
51232413102234
6101213443320
712222551220
oct2634754400
9866725743
10376690944
111836a5533
12a61a0540
136006cc66
1438058080
152310c1e9
hex1673d900

376690944 has 144 divisors (see below), whose sum is σ = 1174400640. Its totient is φ = 104939520.

The previous prime is 376690927. The next prime is 376690949. The reversal of 376690944 is 449096673.

It is a super-2 number, since 2×3766909442 = 283792134583222272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 376690893 and 376690902.

It is not an unprimeable number, because it can be changed into a prime (376690949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219562 + ... + 221270.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2376690944 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 376690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587200320).

376690944 is an abundant number, since it is smaller than the sum of its proper divisors (797709696).

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

376690944 is a wasteful number, since it uses less digits than its factorization.

376690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 376690944 is about 19408.5276103057. The cubic root of 376690944 is about 722.2070548434.

The spelling of 376690944 in words is "three hundred seventy-six million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 768 861 896 984 1148 1312 1344 1709 1722 1792 1968 2296 2624 2688 3418 3444 3936 4592 5127 5248 5376 6836 6888 7872 9184 10254 10496 11963 13672 13776 15744 18368 20508 23926 27344 27552 31488 35889 36736 41016 47852 54688 55104 70069 71778 73472 82032 95704 109376 110208 140138 143556 164064 191408 210207 218752 220416 280276 287112 328128 382816 420414 437504 490483 560552 574224 656256 765632 840828 980966 1121104 1148448 1312512 1471449 1531264 1681656 1961932 2242208 2296896 2942898 3062528 3363312 3923864 4484416 4593792 5885796 6726624 7847728 8968832 9187584 11771592 13453248 15695456 17937664 23543184 26906496 31390912 47086368 53812992 62781824 94172736 125563648 188345472 376690944