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258328 = 2372659
BaseRepresentation
bin111111000100011000
3111010100201
4333010120
531231303
65311544
72124100
oct770430
9433321
10258328
111670a4
121055b4
1390775
146a200
155181d
hex3f118

258328 has 24 divisors (see below), whose sum is σ = 564300. Its totient is φ = 110544.

The previous prime is 258319. The next prime is 258329. The reversal of 258328 is 823852.

258328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 22 + 56 + 311 + 8 + 216 + 8 .

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 258296 and 258305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63 + ... + 721.

2258328 is an apocalyptic number.

258328 is a gapful number since it is divisible by the number (28) 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 258328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282150).

258328 is an abundant number, since it is smaller than the sum of its proper divisors (305972).

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

258328 is a wasteful number, since it uses less digits than its factorization.

258328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 258328 is about 508.2597760988. The cubic root of 258328 is about 63.6879339542.

The spelling of 258328 in words is "two hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 659 1318 2636 4613 5272 9226 18452 32291 36904 64582 129164 258328