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31307364 = 22331119273
BaseRepresentation
bin111011101101…
…1011001100100
32011220120122000
41313123121210
531003313424
63035005300
7530052054
oct167333144
964816560
1031307364
1116743760
12a599830
13664208a
14422d564
152b363c9
hex1ddb664

31307364 has 144 divisors (see below), whose sum is σ = 94731840. Its totient is φ = 8864640.

The previous prime is 31307363. The next prime is 31307399. The reversal of 31307364 is 46370313.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (31307363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428832 + ... + 428904.

It is an arithmetic number, because the mean of its divisors is an integer number (657860).

Almost surely, 231307364 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 31307364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47365920).

31307364 is an abundant number, since it is smaller than the sum of its proper divisors (63424476).

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

31307364 is a wasteful number, since it uses less digits than its factorization.

31307364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 31307364 is about 5595.2983834645. The cubic root of 31307364 is about 315.1728756280.

Adding to 31307364 its reverse (46370313), we get a palindrome (77677677).

The spelling of 31307364 in words is "thirty-one million, three hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 73 76 99 108 114 132 146 171 198 209 219 228 292 297 342 361 396 418 438 513 594 627 657 684 722 803 836 876 1026 1083 1188 1254 1314 1387 1444 1606 1881 1971 2052 2166 2409 2508 2628 2774 3212 3249 3762 3942 3971 4161 4332 4818 5548 5643 6498 7227 7524 7884 7942 8322 9636 9747 11286 11913 12483 12996 14454 15257 15884 16644 19494 21681 22572 23826 24966 26353 28908 30514 35739 37449 38988 43362 45771 47652 49932 52706 61028 71478 74898 79059 86724 91542 105412 107217 137313 142956 149796 158118 183084 214434 237177 274626 289883 316236 411939 428868 474354 549252 579766 711531 823878 869649 948708 1159532 1423062 1647756 1739298 2608947 2846124 3478596 5217894 7826841 10435788 15653682 31307364