Search a number
-
+
381057372 = 22347316111
BaseRepresentation
bin10110101101100…
…111100101011100
3222120000201110000
4112231213211130
51240022313442
6101451214300
712304635303
oct2655474534
9876021400
10381057372
11186108053
12a7747390
1360c3b547
143887343a
15236c0d4c
hex16b6795c

381057372 has 60 divisors (see below), whose sum is σ = 1009867936. Its totient is φ = 125271360.

The previous prime is 381057371. The next prime is 381057373. The reversal of 381057372 is 273750183.

381057372 is a `hidden beast` number, since 3 + 8 + 10 + 573 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (381057371) and next prime (381057373).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (381057371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15597 + ... + 31707.

Almost surely, 2381057372 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 381057372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504933968).

381057372 is an abundant number, since it is smaller than the sum of its proper divisors (628810564).

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

381057372 is a wasteful number, since it uses less digits than its factorization.

381057372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16200 (or 16189 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 381057372 is about 19520.6908689216. The cubic root of 381057372 is about 724.9868389208.

The spelling of 381057372 in words is "three hundred eighty-one million, fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 11826 16111 23652 32222 48333 64444 96666 144999 193332 289998 434997 579996 869994 1176103 1304991 1739988 2352206 2609982 3528309 4704412 5219964 7056618 10584927 14113236 21169854 31754781 42339708 63509562 95264343 127019124 190528686 381057372