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13355034 = 23711137211
BaseRepresentation
bin110010111100…
…100000011010
3221010111122220
4302330200122
511404330114
61154124510
7221341650
oct62744032
927114586
1013355034
1175a1920
124580736
1329c79b4
141ab8dd0
15128c0a9
hexcbc81a

13355034 has 64 divisors (see below), whose sum is σ = 33702912. Its totient is φ = 3427200.

The previous prime is 13355009. The next prime is 13355101. The reversal of 13355034 is 43055331.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13354995 and 13355013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63189 + ... + 63399.

It is an arithmetic number, because the mean of its divisors is an integer number (526608).

Almost surely, 213355034 is an apocalyptic number.

13355034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13355034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16851456).

13355034 is an abundant number, since it is smaller than the sum of its proper divisors (20347878).

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

13355034 is a wasteful number, since it uses less digits than its factorization.

13355034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 13355034 is about 3654.4539947850. The cubic root of 13355034 is about 237.2547954970.

The spelling of 13355034 in words is "thirteen million, three hundred fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 211 231 274 411 422 462 633 822 959 1266 1477 1507 1918 2321 2877 2954 3014 4431 4521 4642 5754 6963 8862 9042 10549 13926 16247 21098 28907 31647 32494 48741 57814 63294 86721 97482 173442 202349 317977 404698 607047 635954 953931 1214094 1907862 2225839 4451678 6677517 13355034