| Base | Representation |
|---|---|
| bin | 100000010110001010… |
| … | …100100011010000000 |
| 3 | 10022122111122110220000 |
| 4 | 200112022210122000 |
| 5 | 1032112242421210 |
| 6 | 23542214520000 |
| 7 | 2336452536300 |
| oct | 402612443200 |
| 9 | 108574573800 |
| 10 | 34731607680 |
| 11 | 138030a5a00 |
| 12 | 6893666000 |
| 13 | 3376741863 |
| 14 | 1976a03600 |
| 15 | d84216ac0 |
| hex | 8162a4680 |
34731607680 has 1440 divisors, whose sum is σ = 159995640420. Its totient is φ = 7153090560.
The previous prime is 34731607657. The next prime is 34731607681. The reversal of 34731607680 is 8670613743.
34731607680 is a `hidden beast` number, since 3 + 4 + 7 + 31 + 607 + 6 + 8 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 29537234496 + 5194373184 = 171864^2 + 72072^2 .
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (34731607681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 307359304 + ... + 307359416.
Almost surely, 234731607680 is an apocalyptic number.
34731607680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34731607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79997820210).
34731607680 is an abundant number, since it is smaller than the sum of its proper divisors (125264032740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34731607680 is a wasteful number, since it uses less digits than its factorization.
34731607680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 508032, while the sum is 45.
It can be divided in two parts, 34731 and 607680, that added together give a triangular number (642411 = T1133).
The spelling of 34731607680 in words is "thirty-four billion, seven hundred thirty-one million, six hundred seven thousand, six hundred eighty".
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