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376816896 = 2832413989
BaseRepresentation
bin10110011101011…
…100010100000000
3222021001021121100
4112131130110000
51232431120041
6101220254400
712223614351
oct2635342400
9867037540
10376816896
11183781125
12a6241400
13600b53a1
143808bd28
15231346b6
hex1675c500

376816896 has 108 divisors (see below), whose sum is σ = 1113233940. Its totient is φ = 122511360.

The previous prime is 376816879. The next prime is 376816927. The reversal of 376816896 is 698618673.

It is a happy number.

376816896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 293642496 = 9120^2 + 17136^2 .

It is a super-2 number, since 2×3768168962 = 283981946222149632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92470 + ... + 96458.

Almost surely, 2376816896 is an apocalyptic number.

376816896 is a gapful number since it is divisible by the number (36) 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 376816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556616970).

376816896 is an abundant number, since it is smaller than the sum of its proper divisors (736417044).

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

376816896 is a wasteful number, since it uses less digits than its factorization.

376816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4035 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 376816896 is about 19411.7720983943. The cubic root of 376816896 is about 722.2875392901.

The spelling of 376816896 in words is "three hundred seventy-six million, eight hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3936 3989 5248 5904 7872 7978 10496 11808 11967 15744 15956 23616 23934 31488 31912 35901 47232 47868 63824 71802 94464 95736 127648 143604 163549 191472 255296 287208 327098 382944 490647 510592 574416 654196 765888 981294 1021184 1148832 1308392 1471941 1531776 1962588 2297664 2616784 2943882 3063552 3925176 4595328 5233568 5887764 7850352 9190656 10467136 11775528 15700704 20934272 23551056 31401408 41868544 47102112 62802816 94204224 125605632 188408448 376816896