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380857032 = 233315111677
BaseRepresentation
bin10110101100110…
…110101011001000
3222112122112122000
4112230312223020
51234444411112
6101443031000
712303142233
oct2654665310
9875575560
10380857032
11185a90586
12a766b460
1360b9b2ba
143882041a
15236817dc
hex16b36ac8

380857032 has 64 divisors (see below), whose sum is σ = 1065033600. Its totient is φ = 126100800.

The previous prime is 380857019. The next prime is 380857049. The reversal of 380857032 is 230758083.

380857032 is a `hidden beast` number, since 3 + 80 + 8 + 570 + 3 + 2 = 666.

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

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, 26778 + ... + 38454.

It is an arithmetic number, because the mean of its divisors is an integer number (16641150).

Almost surely, 2380857032 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 380857032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532516800).

380857032 is an abundant number, since it is smaller than the sum of its proper divisors (684176568).

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

380857032 is a wasteful number, since it uses less digits than its factorization.

380857032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 380857032 is about 19515.5587160604. The cubic root of 380857032 is about 724.8597632840.

The spelling of 380857032 in words is "three hundred eighty million, eight hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1812 2718 3624 4077 5436 8154 10872 11677 16308 23354 32616 35031 46708 70062 93416 105093 140124 210186 280248 315279 420372 630558 840744 1261116 1763227 2522232 3526454 5289681 7052908 10579362 14105816 15869043 21158724 31738086 42317448 47607129 63476172 95214258 126952344 190428516 380857032