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31809344 = 2671937101
BaseRepresentation
bin111100101010…
…1111101000000
32012212002012212
41321111331000
531120344334
63053441252
7534242420
oct171257500
965762185
1031809344
1116a56916
12a7a0228
1367896c8
144320480
152bd4ece
hex1e55f40

31809344 has 112 divisors (see below), whose sum is σ = 78760320. Its totient is φ = 12441600.

The previous prime is 31809343. The next prime is 31809353. The reversal of 31809344 is 44390813.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 31809344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31809343) 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 15 ways as a sum of consecutive naturals, for example, 314894 + ... + 314994.

Almost surely, 231809344 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 31809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39380160).

31809344 is an abundant number, since it is smaller than the sum of its proper divisors (46950976).

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

31809344 is a wasteful number, since it uses less digits than its factorization.

31809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 31809344 is about 5639.9773049189. The cubic root of 31809344 is about 316.8484383303.

The spelling of 31809344 in words is "thirty-one million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 74 76 101 112 133 148 152 202 224 259 266 296 304 404 448 518 532 592 608 703 707 808 1036 1064 1184 1216 1406 1414 1616 1919 2072 2128 2368 2812 2828 3232 3737 3838 4144 4256 4921 5624 5656 6464 7474 7676 8288 8512 9842 11248 11312 13433 14948 15352 16576 19684 22496 22624 26159 26866 29896 30704 39368 44992 45248 52318 53732 59792 61408 71003 78736 104636 107464 119584 122816 142006 157472 209272 214928 239168 284012 314944 418544 429856 497021 568024 837088 859712 994042 1136048 1674176 1988084 2272096 3976168 4544192 7952336 15904672 31809344