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380464 = 2474379
BaseRepresentation
bin1011100111000110000
3201022220021
41130320300
544133324
612053224
73143140
oct1347060
9638807
10380464
1123a937
12164214
13104236
149c920
1577ae4
hex5ce30

380464 has 40 divisors (see below), whose sum is σ = 872960. Its totient is φ = 157248.

The previous prime is 380461. The next prime is 380483. The reversal of 380464 is 464083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4777 + ... + 4855.

It is an arithmetic number, because the mean of its divisors is an integer number (21824).

2380464 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 380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436480).

380464 is an abundant number, since it is smaller than the sum of its proper divisors (492496).

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

380464 is a wasteful number, since it uses less digits than its factorization.

380464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 380464 is about 616.8176391771. The cubic root of 380464 is about 72.4610333608.

The spelling of 380464 in words is "three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 79 86 112 158 172 301 316 344 553 602 632 688 1106 1204 1264 2212 2408 3397 4424 4816 6794 8848 13588 23779 27176 47558 54352 95116 190232 380464