| Base | Representation |
|---|---|
| bin | 100000010000101010… |
| … | …000100010010100000 |
| 3 | 10022102001202202100200 |
| 4 | 200100222010102200 |
| 5 | 1031420113421230 |
| 6 | 23525114145200 |
| 7 | 2334251232324 |
| oct | 402052042240 |
| 9 | 108361682320 |
| 10 | 34639201440 |
| 11 | 13765a20808 |
| 12 | 6868722200 |
| 13 | 33605595cc |
| 14 | 196862b984 |
| 15 | d7b062160 |
| hex | 810a844a0 |
34639201440 has 144 divisors (see below), whose sum is σ = 118273945608. Its totient is φ = 9231833088.
The previous prime is 34639201433. The next prime is 34639201447. The reversal of 34639201440 is 4410293643.
It is a happy number.
34639201440 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 9 + 201 + 440 = 666.
It is an interprime number because it is at equal distance from previous prime (34639201433) and next prime (34639201447).
It can be written as a sum of positive squares in 4 ways, for example, as 16274615184 + 18364586256 = 127572^2 + 135516^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 34639201395 and 34639201404.
It is not an unprimeable number, because it can be changed into a prime (34639201447) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2950462 + ... + 2962178.
Almost surely, 234639201440 is an apocalyptic number.
34639201440 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 34639201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136972804).
34639201440 is an abundant number, since it is smaller than the sum of its proper divisors (83634744168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34639201440 is a wasteful number, since it uses less digits than its factorization.
34639201440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13791 (or 13780 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 34639201440 in words is "thirty-four billion, six hundred thirty-nine million, two hundred one thousand, four hundred forty".
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