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380432 = 24133159
BaseRepresentation
bin1011100111000010000
3201022212002
41130320100
544133212
612053132
73143063
oct1347020
9638762
10380432
1123a908
121641a8
13104210
149c8da
1577ac2
hex5ce10

380432 has 40 divisors (see below), whose sum is σ = 833280. Its totient is φ = 167040.

The previous prime is 380423. The next prime is 380441. The reversal of 380432 is 234083.

It is an interprime number because it is at equal distance from previous prime (380423) and next prime (380441).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6419 + ... + 6477.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2380432 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 380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

380432 is an abundant number, since it is smaller than the sum of its proper divisors (452848).

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

380432 is a wasteful number, since it uses less digits than its factorization.

380432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 380432 is about 616.7916990362. The cubic root of 380432 is about 72.4590017905.

The spelling of 380432 in words is "three hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 59 62 104 118 124 208 236 248 403 472 496 767 806 944 1534 1612 1829 3068 3224 3658 6136 6448 7316 12272 14632 23777 29264 47554 95108 190216 380432