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258068304 = 243213314447
BaseRepresentation
bin11110110000111…
…00111101010000
3122222121020011100
433120130331100
51012031141204
641335144400
76252354504
oct1730347520
9588536140
10258068304
1112274459a
1272515100
1341608c50
14263ba304
15179c9a39
hexf61cf50

258068304 has 120 divisors (see below), whose sum is σ = 803059712. Its totient is φ = 76826880.

The previous prime is 258068287. The next prime is 258068323. The reversal of 258068304 is 403860852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55809 + ... + 60255.

Almost surely, 2258068304 is an apocalyptic number.

258068304 is a gapful number since it is divisible by the number (24) 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 258068304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401529856).

258068304 is an abundant number, since it is smaller than the sum of its proper divisors (544991408).

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

258068304 is a wasteful number, since it uses less digits than its factorization.

258068304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258068304 is about 16064.5044741505. The cubic root of 258068304 is about 636.6658506549.

The spelling of 258068304 in words is "two hundred fifty-eight million, sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4447 4464 4836 6448 7254 8894 9672 13341 14508 17788 19344 26682 29016 35576 40023 53364 57811 58032 71152 80046 106728 115622 137857 160092 173433 213456 231244 275714 320184 346866 413571 462488 520299 551428 640368 693732 827142 924976 1040598 1102856 1240713 1387464 1654284 1792141 2081196 2205712 2481426 2774928 3308568 3584282 4162392 4962852 5376423 6617136 7168564 8324784 9925704 10752846 14337128 16129269 19851408 21505692 28674256 32258538 43011384 64517076 86022768 129034152 258068304