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380964 = 22353599
BaseRepresentation
bin1011101000000100100
3201100120210
41131000210
544142324
612055420
73144453
oct1350044
9640523
10380964
11240251
12164570
1310452c
149cb9a
1577d29
hex5d024

380964 has 24 divisors (see below), whose sum is σ = 907200. Its totient is φ = 124384.

The previous prime is 380957. The next prime is 380971. The reversal of 380964 is 469083.

It is an interprime number because it is at equal distance from previous prime (380957) and next prime (380971).

It is an unprimeable number.

380964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2380964 is an apocalyptic number.

It is an amenable number.

380964 is an abundant number, since it is smaller than the sum of its proper divisors (526236).

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

380964 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (380963) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (657).

380964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 380964 is about 617.2228122809. Note that the first 3 decimals coincide. The cubic root of 380964 is about 72.4927618616.

The spelling of 380964 in words is "three hundred eighty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 599 636 1198 1797 2396 3594 7188 31747 63494 95241 126988 190482 380964