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34784812152 = 2333161040797
BaseRepresentation
bin100000011001010101…
…100001110001111000
310022210012202112201000
4200121111201301320
51032214402442102
623551355125000
72341000011336
oct403125416170
9108705675630
1034784812152
1113830135242
1268a9443760
13338477c6ac
14197dad2b56
15d88c2601c
hex819561c78

34784812152 has 32 divisors (see below), whose sum is σ = 96624478800. Its totient is φ = 11594937312.

The previous prime is 34784812079. The next prime is 34784812163. The reversal of 34784812152 is 25121848743.

34784812152 is a `hidden beast` number, since 3 + 478 + 4 + 8 + 121 + 52 = 666.

It is a super-2 number, since 2×347848121522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34784812098 and 34784812107.

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, 80520183 + ... + 80520614.

Almost surely, 234784812152 is an apocalyptic number.

It is an amenable number.

34784812152 is an abundant number, since it is smaller than the sum of its proper divisors (61839666648).

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

34784812152 is a wasteful number, since it uses less digits than its factorization.

34784812152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161040812 (or 161040802 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

It can be divided in two parts, 347848 and 12152, that added together give a square (360000 = 6002).

The spelling of 34784812152 in words is "thirty-four billion, seven hundred eighty-four million, eight hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 161040797 322081594 483122391 644163188 966244782 1288326376 1449367173 1932489564 2898734346 3864979128 4348101519 5797468692 8696203038 11594937384 17392406076 34784812152