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390258 = 2351173
BaseRepresentation
bin1011111010001110010
3201211100000
41133101302
544442013
612210430
73213531
oct1372162
9654300
10390258
11247230
12169a16
1310882b
14a2318
157a973
hex5f472

390258 has 48 divisors (see below), whose sum is σ = 969696. Its totient is φ = 116640.

The previous prime is 390223. The next prime is 390263. The reversal of 390258 is 852093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

It is an unprimeable number.

390258 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5310 + ... + 5382.

It is an arithmetic number, because the mean of its divisors is an integer number (20202).

2390258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484848).

390258 is an abundant number, since it is smaller than the sum of its proper divisors (579438).

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

390258 is a wasteful number, since it uses less digits than its factorization.

390258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390258 is about 624.7063310068. The cubic root of 390258 is about 73.0775431725.

The spelling of 390258 in words is "three hundred ninety thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 81 99 146 162 198 219 243 297 438 486 594 657 803 891 1314 1606 1782 1971 2409 2673 3942 4818 5346 5913 7227 11826 14454 17739 21681 35478 43362 65043 130086 195129 390258