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381403224 = 2332972563
BaseRepresentation
bin10110101110111…
…100000001011000
3222120200021212100
4112232330001120
51240114400344
6101502443400
712310605516
oct2656740130
9876607770
10381403224
11186323984
12a7893560
136102caa7
14389234b6
152373d569
hex16bbc058

381403224 has 72 divisors (see below), whose sum is σ = 1045579860. Its totient is φ = 125600256.

The previous prime is 381403223. The next prime is 381403241. The reversal of 381403224 is 422304183.

381403224 is a `hidden beast` number, since 38 + 1 + 403 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381403223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 677167 + ... + 677729.

Almost surely, 2381403224 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 381403224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522789930).

381403224 is an abundant number, since it is smaller than the sum of its proper divisors (664176636).

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

381403224 is a wasteful number, since it uses less digits than its factorization.

381403224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 381403224 is about 19529.5474601948. The cubic root of 381403224 is about 725.2061080277.

The spelling of 381403224 in words is "three hundred eighty-one million, four hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 563 582 776 873 1126 1164 1689 1746 2252 2328 3378 3492 4504 5067 6756 6984 9409 10134 13512 18818 20268 28227 37636 40536 54611 56454 75272 84681 109222 112908 163833 169362 218444 225816 327666 338724 436888 491499 655332 677448 982998 1310664 1965996 3931992 5297267 10594534 15891801 21189068 31783602 42378136 47675403 63567204 95350806 127134408 190701612 381403224