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390312 = 233313139
BaseRepresentation
bin1011111010010101000
3201211102000
41133102220
544442222
612211000
73213636
oct1372250
9654360
10390312
1124727a
12169a60
13108870
14a2356
157a9ac
hex5f4a8

390312 has 64 divisors (see below), whose sum is σ = 1176000. Its totient is φ = 119232.

The previous prime is 390307. The next prime is 390323. The reversal of 390312 is 213093.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2739 + ... + 2877.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2390312 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 390312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588000).

390312 is an abundant number, since it is smaller than the sum of its proper divisors (785688).

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

390312 is a wasteful number, since it uses less digits than its factorization.

390312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 390312 is about 624.7495498198. The cubic root of 390312 is about 73.0809135970.

The spelling of 390312 in words is "three hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 139 156 216 234 278 312 351 417 468 556 702 834 936 1112 1251 1404 1668 1807 2502 2808 3336 3614 3753 5004 5421 7228 7506 10008 10842 14456 15012 16263 21684 30024 32526 43368 48789 65052 97578 130104 195156 390312