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34957020880 = 245436962761
BaseRepresentation
bin100000100011100110…
…011100111011010000
310100020012210122200001
4200203212130323100
51033042444132010
624020430135344
72345160526525
oct404346347320
9110205718601
1034957020880
1113909366201
126937051554
1333b1356152
14199891d14c
15d98de0c3a
hex82399ced0

34957020880 has 20 divisors (see below), whose sum is σ = 81275073732. Its totient is φ = 13982808320.

The previous prime is 34957020853. The next prime is 34957020893. The reversal of 34957020880 is 8802075943.

It can be written as a sum of positive squares in 2 ways, for example, as 16533845056 + 18423175824 = 128584^2 + 135732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×349570208803 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34957020880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218481301 + ... + 218481460.

Almost surely, 234957020880 is an apocalyptic number.

It is an amenable number.

34957020880 is an abundant number, since it is smaller than the sum of its proper divisors (46318052852).

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

34957020880 is a wasteful number, since it uses less digits than its factorization.

34957020880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436962774 (or 436962768 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 34957020880 in words is "thirty-four billion, nine hundred fifty-seven million, twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 436962761 873925522 1747851044 2184813805 3495702088 4369627610 6991404176 8739255220 17478510440 34957020880