Search a number
-
+
34332061520 = 245754156909
BaseRepresentation
bin11111111110010110…
…011010111101010000
310021121122211102121002
4133332112122331100
51030303001432040
623434423121132
72323531464551
oct377626327520
9107548742532
1034332061520
111361860aa69
1267a18a31a8
133311a2ba03
14193991a328
15d5e0e2a15
hex7fe59af50

34332061520 has 40 divisors (see below), whose sum is σ = 79834030920. Its totient is φ = 13730762240.

The previous prime is 34332061513. The next prime is 34332061537. The reversal of 34332061520 is 2516023343.

It can be written as a sum of positive squares in 4 ways, for example, as 64128064 + 34267933456 = 8008^2 + 185116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 574826 + ... + 631734.

It is an arithmetic number, because the mean of its divisors is an integer number (1995850773).

Almost surely, 234332061520 is an apocalyptic number.

It is an amenable number.

34332061520 is an abundant number, since it is smaller than the sum of its proper divisors (45501969400).

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

34332061520 is a wasteful number, since it uses less digits than its factorization.

34332061520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64463 (or 64457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 34332061520 its reverse (2516023343), we get a palindrome (36848084863).

The spelling of 34332061520 in words is "thirty-four billion, three hundred thirty-two million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7541 15082 30164 37705 56909 60328 75410 113818 120656 150820 227636 284545 301640 455272 569090 603280 910544 1138180 2276360 4552720 429150769 858301538 1716603076 2145753845 3433206152 4291507690 6866412304 8583015380 17166030760 34332061520