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34428677248 = 277167230089
BaseRepresentation
bin100000000100000110…
…111110110010000000
310021212101122000110101
4200010012332302000
51031002220132443
623452154012144
72326113633220
oct400406766200
9107771560411
1034428677248
11136680aa879
12680a117054
133328a58c94
1419486aa080
15d6782984d
hex8041bec80

34428677248 has 64 divisors (see below), whose sum is σ = 78856444800. Its totient is φ = 14666729472.

The previous prime is 34428677191. The next prime is 34428677251. The reversal of 34428677248 is 84277682443.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34588 + ... + 264676.

It is an arithmetic number, because the mean of its divisors is an integer number (1232131950).

Almost surely, 234428677248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34428677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39428222400).

34428677248 is an abundant number, since it is smaller than the sum of its proper divisors (44427767552).

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

34428677248 is a wasteful number, since it uses less digits than its factorization.

34428677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230277 (or 230265 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 55.

The spelling of 34428677248 in words is "thirty-four billion, four hundred twenty-eight million, six hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 334 448 668 896 1169 1336 2338 2672 4676 5344 9352 10688 18704 21376 37408 74816 149632 230089 460178 920356 1610623 1840712 3221246 3681424 6442492 7362848 12884984 14725696 25769968 29451392 38424863 51539936 76849726 103079872 153699452 206159744 268974041 307398904 537948082 614797808 1075896164 1229595616 2151792328 2459191232 4303584656 4918382464 8607169312 17214338624 34428677248