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34848293312 = 267110970141
BaseRepresentation
bin100000011101000111…
…101100000111000000
310022221122012201111002
4200131013230013000
51032332130341222
624001543511132
72342400414530
oct403507540700
9108848181432
1034848293312
1113862a53608
1269067584a8
133394978001
1419882d94c0
15d8e5b5392
hex81d1ec1c0

34848293312 has 56 divisors (see below), whose sum is σ = 79103341920. Its totient is φ = 14921303040.

The previous prime is 34848293309. The next prime is 34848293321. The reversal of 34848293312 is 21339284843.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 461762 + ... + 531902.

Almost surely, 234848293312 is an apocalyptic number.

34848293312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34848293312 is an abundant number, since it is smaller than the sum of its proper divisors (44255048608).

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

34848293312 is a wasteful number, since it uses less digits than its factorization.

34848293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71269 (or 71259 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The spelling of 34848293312 in words is "thirty-four billion, eight hundred forty-eight million, two hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1109 2218 4436 7763 8872 15526 17744 31052 35488 62104 70141 70976 124208 140282 248416 280564 490987 496832 561128 981974 1122256 1963948 2244512 3927896 4489024 7855792 15711584 31423168 77786369 155572738 311145476 544504583 622290952 1089009166 1244581904 2178018332 2489163808 4356036664 4978327616 8712073328 17424146656 34848293312