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34288435808 = 251197410329
BaseRepresentation
bin11111111011110000…
…000000001001100000
310021111121202000100222
4133323300000021200
51030210314421213
623430224102212
72322461616104
oct377360001140
9107447660328
1034288435808
11135a5a23360
12678b164968
133305995a93
141933c01904
15d5a376808
hex7fbc00260

34288435808 has 24 divisors (see below), whose sum is σ = 73642209480. Its totient is φ = 15585652480.

The previous prime is 34288435801. The next prime is 34288435837. The reversal of 34288435808 is 80853488243.

It is a super-2 number, since 2×342884358082 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34288435808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34288435801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48704813 + ... + 48705516.

It is an arithmetic number, because the mean of its divisors is an integer number (3068425395).

Almost surely, 234288435808 is an apocalyptic number.

It is an amenable number.

34288435808 is an abundant number, since it is smaller than the sum of its proper divisors (39353773672).

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

34288435808 is a wasteful number, since it uses less digits than its factorization.

34288435808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97410350 (or 97410342 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 53.

The spelling of 34288435808 in words is "thirty-four billion, two hundred eighty-eight million, four hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 97410329 194820658 389641316 779282632 1071513619 1558565264 2143027238 3117130528 4286054476 8572108952 17144217904 34288435808