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14934456 = 2334191213
BaseRepresentation
bin111000111110…
…000110111000
31001002202020000
4320332012320
512310400311
61252033000
7240640455
oct70760670
931082200
1014934456
118480529
125002760
13312b874
141daa82c
1514a0056
hexe3e1b8

14934456 has 80 divisors (see below), whose sum is σ = 44068200. Its totient is φ = 4712256.

The previous prime is 14934431. The next prime is 14934457. The reversal of 14934456 is 65443941.

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 14934456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14934457) 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, 11706 + ... + 12918.

Almost surely, 214934456 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 14934456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034100).

14934456 is an abundant number, since it is smaller than the sum of its proper divisors (29133744).

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

14934456 is a wasteful number, since it uses less digits than its factorization.

14934456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1237 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 14934456 is about 3864.5123883874. The cubic root of 14934456 is about 246.2614709456.

The spelling of 14934456 in words is "fourteen million, nine hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1213 1368 1539 2052 2426 3078 3639 4104 4852 6156 7278 9704 10917 12312 14556 21834 23047 29112 32751 43668 46094 65502 69141 87336 92188 98253 131004 138282 184376 196506 207423 262008 276564 393012 414846 553128 622269 786024 829692 1244538 1659384 1866807 2489076 3733614 4978152 7467228 14934456