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3436044352 = 261317298377
BaseRepresentation
bin1100110011001101…
…1110000001000000
322212110112010201221
43030303132001000
524014111404402
61324542204424
7151101616006
oct31463360100
98773463657
103436044352
111503614a84
127ba883714
13429b36050
142484b0a76
151519c7337
hexcccde040

3436044352 has 112 divisors (see below), whose sum is σ = 8043885360. Its totient is φ = 1440940032.

The previous prime is 3436044349. The next prime is 3436044377. The reversal of 3436044352 is 2534406343.

It can be written as a sum of positive squares in 8 ways, for example, as 184307776 + 3251736576 = 13576^2 + 57024^2 .

It is a super-2 number, since 2×34360443522 = 23612801577822199808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 405988 + ... + 414364.

It is an arithmetic number, because the mean of its divisors is an integer number (71820405).

Almost surely, 23436044352 is an apocalyptic number.

3436044352 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 3436044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021942680).

3436044352 is an abundant number, since it is smaller than the sum of its proper divisors (4607841008).

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

3436044352 is a wasteful number, since it uses less digits than its factorization.

3436044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The square root of 3436044352 is about 58617.7818754685. The cubic root of 3436044352 is about 1508.9896245109.

The spelling of 3436044352 in words is "three billion, four hundred thirty-six million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 104 116 136 208 221 232 272 377 416 442 464 493 544 754 832 884 928 986 1088 1508 1768 1856 1972 3016 3536 3944 6032 6409 7072 7888 8377 12064 12818 14144 15776 16754 24128 25636 31552 33508 51272 67016 102544 108901 134032 142409 205088 217802 242933 268064 284818 410176 435604 485866 536128 569636 871208 971732 1139272 1742416 1851317 1943464 2278544 3158129 3484832 3702634 3886928 4129861 4557088 6316258 6969664 7405268 7773856 8259722 9114176 12632516 14810536 15547712 16519444 25265032 29621072 33038888 50530064 53688193 59242144 66077776 101060128 107376386 118484288 132155552 202120256 214752772 264311104 429505544 859011088 1718022176 3436044352