Search a number
-
+
34291838864 = 2417971299721
BaseRepresentation
bin11111111011111100…
…111110111110010000
310021111212010220111002
4133323330332332100
51030212202320424
623430425041132
72322532551413
oct377374767620
9107455126432
1034291838864
11135a79380a8
1267903261a8
1333065b7a1a
141934449b7a
15d5a7e9cae
hex7fbf3ef90

34291838864 has 40 divisors (see below), whose sum is σ = 71073997848. Its totient is φ = 15970959360.

The previous prime is 34291838863. The next prime is 34291838899. The reversal of 34291838864 is 46883819243.

It can be written as a sum of positive squares in 4 ways, for example, as 20972832400 + 13319006464 = 144820^2 + 115408^2 .

It is not an unprimeable number, because it can be changed into a prime (34291838863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623477 + ... + 676244.

Almost surely, 234291838864 is an apocalyptic number.

34291838864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34291838864 is an abundant number, since it is smaller than the sum of its proper divisors (36782158984).

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

34291838864 is a wasteful number, since it uses less digits than its factorization.

34291838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299843 (or 1299837 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 56.

The spelling of 34291838864 in words is "thirty-four billion, two hundred ninety-one million, eight hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1552 1649 3298 6596 13192 26384 1299721 2599442 5198884 10397768 20795536 22095257 44190514 88381028 126072937 176762056 252145874 353524112 504291748 1008583496 2017166992 2143239929 4286479858 8572959716 17145919432 34291838864