| Base | Representation |
|---|---|
| bin | 100000001001001100… |
| … | …100010111101100000 |
| 3 | 10022002100012222210000 |
| 4 | 200021030202331200 |
| 5 | 1031141042202430 |
| 6 | 23504443140000 |
| 7 | 2331201230355 |
| oct | 401114427540 |
| 9 | 108070188700 |
| 10 | 34514022240 |
| 11 | 137012a1825 |
| 12 | 6832814600 |
| 13 | 334063b189 |
| 14 | 1955b6462c |
| 15 | d70086e60 |
| hex | 809322f60 |
34514022240 has 240 divisors, whose sum is σ = 124640440848. Its totient is φ = 8989553664.
The previous prime is 34514022239. The next prime is 34514022241. The reversal of 34514022240 is 4222041543.
34514022240 is a `hidden beast` number, since 34 + 5 + 1 + 402 + 224 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (34514022239) and next prime (34514022241).
It is a tau number, because it is divible by the number of its divisors (240).
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 (34514022241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526314 + ... + 588246.
Almost surely, 234514022240 is an apocalyptic number.
34514022240 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 34514022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62320220424).
34514022240 is an abundant number, since it is smaller than the sum of its proper divisors (90126418608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34514022240 is a wasteful number, since it uses less digits than its factorization.
34514022240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62003 (or 61986 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
Adding to 34514022240 its reverse (4222041543), we get a palindrome (38736063783).
The spelling of 34514022240 in words is "thirty-four billion, five hundred fourteen million, twenty-two thousand, two hundred forty".
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