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3269574112 = 25719240433
BaseRepresentation
bin1100001011100001…
…1011110111100000
322102212021120111111
43002320123313200
523144002332422
61300234153104
7144010631020
oct30270336740
98385246444
103269574112
111428653472
12772b82794
134014bb54c
14230339a80
15142092a77
hexc2e1bde0

3269574112 has 72 divisors (see below), whose sum is σ = 7764298416. Its totient is φ = 1327463424.

The previous prime is 3269574089. The next prime is 3269574157. The reversal of 3269574112 is 2114759623.

It is a happy number.

3269574112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32695741122 = 21380229747721177088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60648 + ... + 101080.

It is an arithmetic number, because the mean of its divisors is an integer number (107837478).

Almost surely, 23269574112 is an apocalyptic number.

3269574112 is a gapful number since it is divisible by the number (32) 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 3269574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882149208).

3269574112 is an abundant number, since it is smaller than the sum of its proper divisors (4494724304).

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

3269574112 is a wasteful number, since it uses less digits than its factorization.

3269574112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40488 (or 40461 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 3269574112 is about 57180.1898562780. The cubic root of 3269574112 is about 1484.2158393614.

The spelling of 3269574112 in words is "three billion, two hundred sixty-nine million, five hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 361 532 608 722 1064 1444 2128 2527 2888 4256 5054 5776 10108 11552 20216 40432 40433 80864 80866 161732 283031 323464 566062 646928 768227 1132124 1293856 1536454 2264248 3072908 4528496 5377589 6145816 9056992 10755178 12291632 14596313 21510356 24583264 29192626 43020712 58385252 86041424 102174191 116770504 172082848 204348382 233541008 408696764 467082016 817393528 1634787056 3269574112