| Base | Representation |
|---|---|
| bin | 11111110110100001… |
| … | …010111110000000000 |
| 3 | 10021021111200022000000 |
| 4 | 133312201113300000 |
| 5 | 1030020340323430 |
| 6 | 23413412000000 |
| 7 | 2320345163100 |
| oct | 376641276000 |
| 9 | 107244608000 |
| 10 | 34200714240 |
| 11 | 135604588a0 |
| 12 | 6765900000 |
| 13 | 32c0760c24 |
| 14 | 19262c9200 |
| 15 | d527e9e60 |
| hex | 7f6857c00 |
34200714240 has 1848 divisors, whose sum is σ = 165279070512. Its totient is φ = 6688604160.
The previous prime is 34200714211. The next prime is 34200714241. The reversal of 34200714240 is 4241700243.
34200714240 is a `hidden beast` number, since 34 + 200 + 7 + 1 + 424 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1848).
It is a super-2 number, since 2×342007142402 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34200714241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2011806712 + ... + 2011806728.
Almost surely, 234200714240 is an apocalyptic number.
34200714240 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 34200714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82639535256).
34200714240 is an abundant number, since it is smaller than the sum of its proper divisors (131078356272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34200714240 is a wasteful number, since it uses less digits than its factorization.
34200714240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 45 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 27.
The spelling of 34200714240 in words is "thirty-four billion, two hundred million, seven hundred fourteen thousand, two hundred forty".
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