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34219435264 = 28719095667
BaseRepresentation
bin11111110111101000…
…110010010100000000
310021022210220102102021
4133313220302110000
51030040133412024
623415321131224
72320663254250
oct376750622400
9107283812367
1034219435264
111356aa85213
126770029b14
1332c45b7161
14192899d960
15d54296de4
hex7f7a32500

34219435264 has 36 divisors (see below), whose sum is σ = 78063090784. Its totient is φ = 14665471488.

The previous prime is 34219435231. The next prime is 34219435273. The reversal of 34219435264 is 46253491243.

It is a super-3 number, since 3×342194352643 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34219435264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9546042 + ... + 9549625.

Almost surely, 234219435264 is an apocalyptic number.

It is an amenable number.

34219435264 is an abundant number, since it is smaller than the sum of its proper divisors (43843655520).

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

34219435264 is an equidigital number, since it uses as much as digits as its factorization.

34219435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095690 (or 19095676 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 34219435264 in words is "thirty-four billion, two hundred nineteen million, four hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 19095667 38191334 76382668 133669669 152765336 267339338 305530672 534678676 611061344 1069357352 1222122688 2138714704 2444245376 4277429408 4888490752 8554858816 17109717632 34219435264