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31874076 = 223213431
BaseRepresentation
bin111100110010…
…1110000011100
32012222101000100
41321211300130
531124432301
63055101100
7534632223
oct171456034
965871010
1031874076
1116aa0513
12a811790
1367b0000
144339cba
152be9286
hex1e65c1c

31874076 has 90 divisors (see below), whose sum is σ = 90100192. Its totient is φ = 9491040.

The previous prime is 31874069. The next prime is 31874093. The reversal of 31874076 is 67047813.

It is a super-3 number, since 3×318740763 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31874076.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1028181 + ... + 1028211.

Almost surely, 231874076 is an apocalyptic number.

31874076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31874076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45050096).

31874076 is an abundant number, since it is smaller than the sum of its proper divisors (58226116).

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

31874076 is a wasteful number, since it uses less digits than its factorization.

31874076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

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

The square root of 31874076 is about 5645.7130639096. The cubic root of 31874076 is about 317.0632215090.

The spelling of 31874076 in words is "thirty-one million, eight hundred seventy-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 186 234 279 338 372 403 468 507 558 676 806 1014 1116 1209 1521 1612 2028 2197 2418 3042 3627 4394 4836 5239 6084 6591 7254 8788 10478 13182 14508 15717 19773 20956 26364 28561 31434 39546 47151 57122 62868 68107 79092 85683 94302 114244 136214 171366 188604 204321 257049 272428 342732 408642 514098 612963 817284 885391 1028196 1225926 1770782 2451852 2656173 3541564 5312346 7968519 10624692 15937038 31874076