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381604032 = 26321738971
BaseRepresentation
bin10110101111101…
…101000011000000
3222121001111022200
4112233231003000
51240142312112
6101511033200
712312403125
oct2657550300
9877044280
10381604032
11186450837
12a796b800
13610a0304
143897674c
152377ccdc
hex16bed0c0

381604032 has 84 divisors (see below), whose sum is σ = 1158169896. Its totient is φ = 119715840.

The previous prime is 381604021. The next prime is 381604087. The reversal of 381604032 is 230406183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 381603987 and 381604005.

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, 9694 + ... + 29277.

Almost surely, 2381604032 is an apocalyptic number.

381604032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381604032 is an abundant number, since it is smaller than the sum of its proper divisors (776565864).

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

381604032 is a wasteful number, since it uses less digits than its factorization.

381604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39006 (or 38993 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 381604032 is about 19534.6879166267. The cubic root of 381604032 is about 725.3333588644. Note that the first 4 decimals are identical.

The spelling of 381604032 in words is "three hundred eighty-one million, six hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 38971 77942 116913 155884 233826 311768 350739 467652 623536 662507 701478 935304 1247072 1325014 1402956 1870608 1987521 2494144 2650028 2805912 3741216 3975042 5300056 5611824 5962563 7482432 7950084 10600112 11223648 11925126 15900168 21200224 22447296 23850252 31800336 42400448 47700504 63600672 95401008 127201344 190802016 381604032