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34520256 = 26346659
BaseRepresentation
bin1000001110101…
…1110011000000
32101221210220000
42003223303000
532314122011
63231520000
7566263101
oct203536300
971853800
1034520256
1118538641
12b689000
1371c85b4
1448283a8
15306d356
hex20ebcc0

34520256 has 70 divisors (see below), whose sum is σ = 102344220. Its totient is φ = 11505024.

The previous prime is 34520243. The next prime is 34520273. The reversal of 34520256 is 65202543.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 1855 + ... + 8513.

Almost surely, 234520256 is an apocalyptic number.

34520256 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 34520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51172110).

34520256 is an abundant number, since it is smaller than the sum of its proper divisors (67823964).

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

34520256 is an equidigital number, since it uses as much as digits as its factorization.

34520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34520256 is about 5875.3941144403. The cubic root of 34520256 is about 325.6052028862.

Adding to 34520256 its reverse (65202543), we get a palindrome (99722799).

The spelling of 34520256 in words is "thirty-four million, five hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 6659 13318 19977 26636 39954 53272 59931 79908 106544 119862 159816 179793 213088 239724 319632 359586 426176 479448 539379 639264 719172 958896 1078758 1278528 1438344 1917792 2157516 2876688 3835584 4315032 5753376 8630064 11506752 17260128 34520256