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381508704 = 25341031429
BaseRepresentation
bin10110101111010…
…101110001100000
3222120212122120000
4112233111301200
51240131234304
6101505020000
712311525163
oct2657256140
9876778500
10381508704
11186396155
12a7924600
1361068ac5
143894dada
152375e939
hex16bd5c60

381508704 has 120 divisors (see below), whose sum is σ = 1133692560. Its totient is φ = 125846784.

The previous prime is 381508703. The next prime is 381508711. The reversal of 381508704 is 407805183.

381508704 is a `hidden beast` number, since 3 + 81 + 508 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381508703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266262 + ... + 267690.

It is an arithmetic number, because the mean of its divisors is an integer number (9447438).

Almost surely, 2381508704 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 381508704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566846280).

381508704 is an abundant number, since it is smaller than the sum of its proper divisors (752183856).

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

381508704 is a wasteful number, since it uses less digits than its factorization.

381508704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 381508704 is about 19532.2477969127. The cubic root of 381508704 is about 725.2729556444.

The spelling of 381508704 in words is "three hundred eighty-one million, five hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 103 108 144 162 206 216 288 309 324 412 432 618 648 824 864 927 1236 1296 1429 1648 1854 2472 2592 2781 2858 3296 3708 4287 4944 5562 5716 7416 8343 8574 9888 11124 11432 12861 14832 16686 17148 22248 22864 25722 29664 33372 34296 38583 44496 45728 51444 66744 68592 77166 88992 102888 115749 133488 137184 147187 154332 205776 231498 266976 294374 308664 411552 441561 462996 588748 617328 883122 925992 1177496 1234656 1324683 1766244 1851984 2354992 2649366 3532488 3703968 3974049 4709984 5298732 7064976 7948098 10597464 11922147 14129952 15896196 21194928 23844294 31792392 42389856 47688588 63584784 95377176 127169568 190754352 381508704