Search a number
-
+
34456516052 = 22718110216659
BaseRepresentation
bin100000000101110001…
…001011010111010100
310021221100000101010012
4200011301023113110
51031031332003202
623455030415352
72326602361010
oct400561132724
9107840011105
1034456516052
1113681894552
126817501558
13333175534a
14194c275540
15d69ec8152
hex805c4b5d4

34456516052 has 48 divisors (see below), whose sum is σ = 69372051840. Its totient is φ = 14668905600.

The previous prime is 34456515971. The next prime is 34456516069. The reversal of 34456516052 is 25061565443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5171099 + ... + 5177757.

It is an arithmetic number, because the mean of its divisors is an integer number (1445251080).

Almost surely, 234456516052 is an apocalyptic number.

It is an amenable number.

34456516052 is an abundant number, since it is smaller than the sum of its proper divisors (34915535788).

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

34456516052 is a wasteful number, since it uses less digits than its factorization.

34456516052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 34456516052 in words is "thirty-four billion, four hundred fifty-six million, five hundred sixteen thousand, fifty-two".

Divisors: 1 2 4 7 14 28 181 362 724 1021 1267 2042 2534 4084 5068 6659 7147 13318 14294 26636 28588 46613 93226 184801 186452 369602 739204 1205279 1293607 2410558 2587214 4821116 5174428 6798839 8436953 13597678 16873906 27195356 33747812 47591873 95183746 190367492 1230589859 2461179718 4922359436 8614129013 17228258026 34456516052