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313275336 = 2331131101379
BaseRepresentation
bin10010101011000…
…011001111001000
3210211111000222020
4102223003033020
51120144302321
651030324440
710522540113
oct2253031710
9724430866
10313275336
11150921440
1288ab9720
134cb9842a
142d86b57a
151c7824c6
hex12ac33c8

313275336 has 128 divisors (see below), whose sum is σ = 893030400. Its totient is φ = 90720000.

The previous prime is 313275323. The next prime is 313275373. The reversal of 313275336 is 633572313.

313275336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3132753362 = 196282872291825792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 313275297 and 313275306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826395 + ... + 826773.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2313275336 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 313275336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

313275336 is an abundant number, since it is smaller than the sum of its proper divisors (579755064).

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

313275336 is a wasteful number, since it uses less digits than its factorization.

313275336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its digits is 34020, while the sum is 33.

The square root of 313275336 is about 17699.5857578645. The cubic root of 313275336 is about 679.1651634947.

It can be divided in two parts, 31327 and 5336, that added together give a palindrome (36663).

The spelling of 313275336 in words is "three hundred thirteen million, two hundred seventy-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 101 124 132 186 202 248 264 303 341 372 379 404 606 682 744 758 808 1023 1111 1137 1212 1364 1516 2046 2222 2274 2424 2728 3032 3131 3333 4092 4169 4444 4548 6262 6666 8184 8338 8888 9096 9393 11749 12507 12524 13332 16676 18786 23498 25014 25048 26664 33352 34441 35247 37572 38279 46996 50028 68882 70494 75144 76558 93992 100056 103323 114837 129239 137764 140988 153116 206646 229674 258478 275528 281976 306232 387717 413292 421069 459348 516956 775434 826584 842138 918696 1033912 1186649 1263207 1550868 1684276 2373298 2526414 3101736 3368552 3559947 4746596 5052828 7119894 9493192 10105656 13053139 14239788 26106278 28479576 39159417 52212556 78318834 104425112 156637668 313275336