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380960 = 2552381
BaseRepresentation
bin1011101000000100000
3201100120122
41131000200
544142320
612055412
73144446
oct1350040
9640518
10380960
11240248
12164568
13104528
149cb96
1577d25
hex5d020

380960 has 24 divisors (see below), whose sum is σ = 900396. Its totient is φ = 152320.

The previous prime is 380957. The next prime is 380971. The reversal of 380960 is 69083.

It is a happy number.

380960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 71824 = 556^2 + 268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1031 + ... + 1350.

2380960 is an apocalyptic number.

It is an amenable number.

380960 is an abundant number, since it is smaller than the sum of its proper divisors (519436).

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

380960 is a wasteful number, since it uses less digits than its factorization.

380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 380960 is about 617.2195719515. The cubic root of 380960 is about 72.4925081438.

The spelling of 380960 in words is "three hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2381 4762 9524 11905 19048 23810 38096 47620 76192 95240 190480 380960