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381257232 = 24317479941
BaseRepresentation
bin10110101110011…
…000011000010000
3222120101212121020
4112232120120100
51240100212412
6101455355440
712306430056
oct2656303020
9876355536
10381257232
11186234224
12a7822b80
1360cab4c5
14388c61d6
152371018c
hex16b98610

381257232 has 80 divisors (see below), whose sum is σ = 1065146112. Its totient is φ = 117053440.

The previous prime is 381257209. The next prime is 381257243. The reversal of 381257232 is 232752183.

It is a junction number, because it is equal to n+sod(n) for n = 381257193 and 381257202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33382 + ... + 43322.

Almost surely, 2381257232 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 381257232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532573056).

381257232 is an abundant number, since it is smaller than the sum of its proper divisors (683888880).

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

381257232 is a wasteful number, since it uses less digits than its factorization.

381257232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10010 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 381257232 is about 19525.8093814315. The cubic root of 381257232 is about 725.1135657216.

The spelling of 381257232 in words is "three hundred eighty-one million, two hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 752 799 816 1128 1598 2256 2397 3196 4794 6392 9588 9941 12784 19176 19882 29823 38352 39764 59646 79528 119292 159056 168997 238584 337994 467227 477168 506991 675988 934454 1013982 1351976 1401681 1868908 2027964 2703952 2803362 3737816 4055928 5606724 7475632 7942859 8111856 11213448 15885718 22426896 23828577 31771436 47657154 63542872 95314308 127085744 190628616 381257232