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31530312 = 23321141971
BaseRepresentation
bin111100001000…
…1110101001000
32012022220110100
41320101311020
531032432222
63043445400
7532001052
oct170216510
965286410
1031530312
1116886210
12a686860
1366bc6b8
14428a8d2
152b7c4ac
hex1e11d48

31530312 has 96 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 9312000.

The previous prime is 31530311. The next prime is 31530341. The reversal of 31530312 is 21303513.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31530311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31987 + ... + 32957.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 231530312 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 31530312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

31530312 is an abundant number, since it is smaller than the sum of its proper divisors (63997848).

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

31530312 is a wasteful number, since it uses less digits than its factorization.

31530312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 31530312 is about 5615.1858384207. The cubic root of 31530312 is about 315.9192497830.

Adding to 31530312 its reverse (21303513), we get a palindrome (52833825).

The spelling of 31530312 in words is "thirty-one million, five hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 971 984 1353 1476 1804 1942 2706 2913 2952 3608 3884 4059 5412 5826 7768 8118 8739 10681 10824 11652 16236 17478 21362 23304 32043 32472 34956 39811 42724 64086 69912 79622 85448 96129 119433 128172 159244 192258 238866 256344 318488 358299 384516 437921 477732 716598 769032 875842 955464 1313763 1433196 1751684 2627526 2866392 3503368 3941289 5255052 7882578 10510104 15765156 31530312