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31768074 = 23213349389
BaseRepresentation
bin111100100101…
…1111000001010
32012202222121100
41321023320022
531113034244
63052522230
7534011202
oct171137012
965688540
1031768074
1116a28908
12a780376
1367739a0
14430d402
152bc7b69
hex1e4be0a

31768074 has 48 divisors (see below), whose sum is σ = 74529000. Its totient is φ = 9721728.

The previous prime is 31768073. The next prime is 31768081. The reversal of 31768074 is 47086713.

It can be written as a sum of positive squares in 4 ways, for example, as 21483225 + 10284849 = 4635^2 + 3207^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31768073) 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 23 ways as a sum of consecutive naturals, for example, 81472 + ... + 81860.

Almost surely, 231768074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31768074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37264500).

31768074 is an abundant number, since it is smaller than the sum of its proper divisors (42760926).

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

31768074 is a wasteful number, since it uses less digits than its factorization.

31768074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 31768074 is about 5636.3174147665. The cubic root of 31768074 is about 316.7113507889.

The spelling of 31768074 in words is "thirty-one million, seven hundred sixty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 389 698 778 1047 1167 2094 2334 3141 3501 4537 5057 6282 7002 9074 10114 13611 15171 27222 30342 40833 45513 81666 91026 135761 271522 407283 814566 1221849 1764893 2443698 3529786 5294679 10589358 15884037 31768074