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13934376 = 2333312081
BaseRepresentation
bin110101001001…
…111100101000
3222012221101000
4311021330220
512031400001
61214355000
7226304001
oct65117450
928187330
1013934376
117958115
1247bba60
132b6b5c1
141bca1a8
151353a86
hexd49f28

13934376 has 64 divisors (see below), whose sum is σ = 39974400. Its totient is φ = 4492800.

The previous prime is 13934363. The next prime is 13934399. The reversal of 13934376 is 67343931.

13934376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 13934376.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5656 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (624600).

Almost surely, 213934376 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 13934376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987200).

13934376 is an abundant number, since it is smaller than the sum of its proper divisors (26040024).

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

13934376 is a wasteful number, since it uses less digits than its factorization.

13934376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2117 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13934376 is about 3732.8777102927. The cubic root of 13934376 is about 240.6370574944.

The spelling of 13934376 in words is "thirteen million, nine hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2081 2232 3348 4162 6243 6696 8324 12486 16648 18729 24972 37458 49944 56187 64511 74916 112374 129022 149832 193533 224748 258044 387066 449496 516088 580599 774132 1161198 1548264 1741797 2322396 3483594 4644792 6967188 13934376