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13434656 = 252931467
BaseRepresentation
bin110011001111…
…111100100000
3221021112212212
4303033330200
511414402111
61155541252
7222123044
oct63177440
927245785
1013434656
117646724
1245ba828
132a25001
141ada024
1512a598b
hexccff20

13434656 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 6263040.

The previous prime is 13434637. The next prime is 13434671. The reversal of 13434656 is 65643431.

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

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 7 ways as a sum of consecutive naturals, for example, 28535 + ... + 29001.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 213434656 is an apocalyptic number.

13434656 is a gapful number since it is divisible by the number (16) 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 13434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

13434656 is an abundant number, since it is smaller than the sum of its proper divisors (14869984).

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

13434656 is a wasteful number, since it uses less digits than its factorization.

13434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 13434656 is about 3665.3316357459. The cubic root of 13434656 is about 237.7253617118.

The spelling of 13434656 in words is "thirteen million, four hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 467 496 899 928 934 992 1798 1868 3596 3736 7192 7472 13543 14384 14477 14944 27086 28768 28954 54172 57908 108344 115816 216688 231632 419833 433376 463264 839666 1679332 3358664 6717328 13434656