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258328356 = 2231113473203
BaseRepresentation
bin11110110010111…
…00011100100100
3200000002102212220
433121130130210
51012113001411
641344512340
76254516616
oct1731343444
9600072786
10258328356
11122901a10
127261b6b0
134169a420
1426446db6
1517a2bb06
hexf65c724

258328356 has 96 divisors (see below), whose sum is σ = 723437568. Its totient is φ = 70700160.

The previous prime is 258328253. The next prime is 258328393. The reversal of 258328356 is 653823852.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79051 + ... + 82253.

It is an arithmetic number, because the mean of its divisors is an integer number (7535808).

Almost surely, 2258328356 is an apocalyptic number.

258328356 is a gapful number since it is divisible by the number (26) 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 258328356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361718784).

258328356 is an abundant number, since it is smaller than the sum of its proper divisors (465109212).

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

258328356 is a wasteful number, since it uses less digits than its factorization.

258328356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3279 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 258328356 is about 16072.5964299487. The cubic root of 258328356 is about 636.8796321013.

The spelling of 258328356 in words is "two hundred fifty-eight million, three hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 3102 3203 3666 6204 6406 6721 7332 9609 12812 13442 19218 20163 26884 35233 38436 40326 41639 70466 80652 83278 105699 124917 140932 150541 166556 211398 249834 301082 422796 451623 458029 499668 602164 903246 916058 1374087 1655951 1806492 1832116 1957033 2748174 3311902 3914066 4967853 5496348 5871099 6623804 7828132 9935706 11742198 19871412 21527363 23484396 43054726 64582089 86109452 129164178 258328356