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34328027648 = 29173943937
BaseRepresentation
bin11111111110000111…
…000010001000000000
310021121101020111011102
4133332013002020000
51030300433341043
623434200433532
72323452264155
oct377607021000
9107541214142
1034328027648
1113616305292
1267a04788a8
133310c488c5
14193918a22c
15d5da976b8
hex7fe1c2200

34328027648 has 40 divisors (see below), whose sum is σ = 72623674332. Its totient is φ = 16154361856.

The previous prime is 34328027627. The next prime is 34328027653. The reversal of 34328027648 is 84672082343.

It can be written as a sum of positive squares in 2 ways, for example, as 33661974784 + 666052864 = 183472^2 + 25808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1963265 + ... + 1980672.

Almost surely, 234328027648 is an apocalyptic number.

It is an amenable number.

34328027648 is an abundant number, since it is smaller than the sum of its proper divisors (38295646684).

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

34328027648 is an equidigital number, since it uses as much as digits as its factorization.

34328027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943972 (or 3943956 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 34328027648 in words is "thirty-four billion, three hundred twenty-eight million, twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 3943937 7887874 15775748 31551496 63102992 67046929 126205984 134093858 252411968 268187716 504823936 536375432 1009647872 1072750864 2019295744 2145501728 4291003456 8582006912 17164013824 34328027648