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31366664 = 23742371
BaseRepresentation
bin111011110100…
…1111000001000
32012000120222022
41313221320020
531012213124
63040144012
7530420000
oct167517010
965016868
1031366664
111678426a
12a608008
136663074
144247000
152b48c5e
hex1de9e08

31366664 has 80 divisors (see below), whose sum is σ = 72601920. Its totient is φ = 12677280.

The previous prime is 31366607. The next prime is 31366667. The reversal of 31366664 is 46666313.

It is a super-2 number, since 2×313666642 = 1967735220977792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31366667) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 441749 + ... + 441819.

It is an arithmetic number, because the mean of its divisors is an integer number (907524).

Almost surely, 231366664 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 31366664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300960).

31366664 is an abundant number, since it is smaller than the sum of its proper divisors (41235256).

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

31366664 is an equidigital number, since it uses as much as digits as its factorization.

31366664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 31366664 is about 5600.5949683940. The cubic root of 31366664 is about 315.3717421918.

The spelling of 31366664 in words is "thirty-one million, three hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 71 92 98 142 161 184 196 284 322 343 392 497 568 644 686 994 1127 1288 1372 1633 1988 2254 2401 2744 3266 3479 3976 4508 4802 6532 6958 7889 9016 9604 11431 13064 13916 15778 19208 22862 24353 27832 31556 45724 48706 55223 63112 80017 91448 97412 110446 160034 170471 194824 220892 320068 340942 441784 560119 640136 681884 1120238 1363768 2240476 3920833 4480952 7841666 15683332 31366664