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380664 = 233217311
BaseRepresentation
bin1011100111011111000
3201100011200
41130323320
544140124
612054200
73143544
oct1347370
9640150
10380664
1123aaa9
12164360
1310435b
149ca24
1577bc9
hex5cef8

380664 has 48 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 119040.

The previous prime is 380657. The next prime is 380707. The reversal of 380664 is 466083.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2380664 is an apocalyptic number.

380664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

380664 is an abundant number, since it is smaller than the sum of its proper divisors (714456).

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

380664 is a wasteful number, since it uses less digits than its factorization.

380664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380664 is about 616.9797403481. The cubic root of 380664 is about 72.4737280949.

The spelling of 380664 in words is "three hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 311 408 612 622 933 1224 1244 1866 2488 2799 3732 5287 5598 7464 10574 11196 15861 21148 22392 31722 42296 47583 63444 95166 126888 190332 380664