Base | Representation |
---|---|
bin | 100000011001000110… |
… | …000000000000000000 |
3 | 10022202221002202000000 |
4 | 200121012000000000 |
5 | 1032212332213012 |
6 | 23551132000000 |
7 | 2340620266050 |
oct | 403106000000 |
9 | 108687082000 |
10 | 34780741632 |
11 | 13828904a7a |
12 | 68a8000000 |
13 | 33839859c0 |
14 | 197d353560 |
15 | d886beddc |
hex | 819180000 |
34780741632 has 560 divisors, whose sum is σ = 128362357200. Its totient is φ = 9172942848.
The previous prime is 34780741607. The next prime is 34780741757. The reversal of 34780741632 is 23614708743.
34780741632 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 0 + 7 + 4 + 1 + 632 = 666.
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 34780741632 = 1923 + 32643 = 14403 + 31683.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2675441658 + ... + 2675441670.
It is an arithmetic number, because the mean of its divisors is an integer number (229218495).
Almost surely, 234780741632 is an apocalyptic number.
34780741632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
34780741632 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34780741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64181178600).
34780741632 is an abundant number, since it is smaller than the sum of its proper divisors (93581615568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34780741632 is an frugal number, since it uses more digits than its factorization.
34780741632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 25 counting only the distinct ones).
The product of its (nonzero) digits is 677376, while the sum is 45.
The spelling of 34780741632 in words is "thirty-four billion, seven hundred eighty million, seven hundred forty-one thousand, six hundred thirty-two".
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