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3438125568 = 2933248707
BaseRepresentation
bin1100110011101101…
…1010001000000000
322212121102212122000
43030323122020000
524020130004233
61325054544000
7151125404463
oct31473321000
98777385560
103438125568
111504806699
127bb508000
1342a3b4437
142488932da
15151c88d13
hexcceda200

3438125568 has 80 divisors (see below), whose sum is σ = 10177131360. Its totient is φ = 1146037248.

The previous prime is 3438125533. The next prime is 3438125599. The reversal of 3438125568 is 8655218343.

3438125568 is a `hidden beast` number, since 3 + 4 + 3 + 81 + 2 + 5 + 568 = 666.

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, 110530 + ... + 138177.

It is an arithmetic number, because the mean of its divisors is an integer number (127214142).

Almost surely, 23438125568 is an apocalyptic number.

It is an amenable number.

3438125568 is an abundant number, since it is smaller than the sum of its proper divisors (6739005792).

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

3438125568 is an equidigital number, since it uses as much as digits as its factorization.

3438125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248734 (or 248712 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3438125568 is about 58635.5316169300. The cubic root of 3438125568 is about 1509.2942286009.

The spelling of 3438125568 in words is "three billion, four hundred thirty-eight million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 248707 497414 746121 994828 1492242 1989656 2238363 2984484 3979312 4476726 5968968 6715089 7958624 8953452 11937936 13430178 15917248 17906904 23875872 26860356 31834496 35813808 47751744 53720712 63668992 71627616 95503488 107441424 127337984 143255232 191006976 214882848 286510464 382013952 429765696 573020928 859531392 1146041856 1719062784 3438125568