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34745763348 = 2233321720031
BaseRepresentation
bin100000010111000000…
…100100011000010100
310022200111021122211000
4200113000210120110
51032124403411343
623543442143300
72340014054412
oct402700443024
9108614248730
1034745763348
11138100942aa
126898351b30
133379659aaa
14197884a2b2
15d855b0ed3
hex817024614

34745763348 has 24 divisors (see below), whose sum is σ = 90081608960. Its totient is φ = 11581921080.

The previous prime is 34745763329. The next prime is 34745763397. The reversal of 34745763348 is 84336754743.

34745763348 is a `hidden beast` number, since 34 + 7 + 4 + 576 + 3 + 34 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34745763294 and 34745763303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160859908 + ... + 160860123.

Almost surely, 234745763348 is an apocalyptic number.

It is an amenable number.

34745763348 is an abundant number, since it is smaller than the sum of its proper divisors (55335845612).

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

34745763348 is a wasteful number, since it uses less digits than its factorization.

34745763348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321720044 (or 321720036 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 34745763348 in words is "thirty-four billion, seven hundred forty-five million, seven hundred sixty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 321720031 643440062 965160093 1286880124 1930320186 2895480279 3860640372 5790960558 8686440837 11581921116 17372881674 34745763348