| Base | Representation |
|---|---|
| bin | 1100111000111100… |
| … | …1000101100000000 |
| 3 | 22221010201222112210 |
| 4 | 3032033020230000 |
| 5 | 24041234333430 |
| 6 | 1331201222120 |
| 7 | 151513101000 |
| oct | 31617105400 |
| 9 | 8833658483 |
| 10 | 3460074240 |
| 11 | 1516137a97 |
| 12 | 806931940 |
| 13 | 431aca80c |
| 14 | 24b768000 |
| 15 | 153b722b0 |
| hex | ce3c8b00 |
3460074240 has 576 divisors, whose sum is σ = 13421721600. Its totient is φ = 758661120.
The previous prime is 3460074239. The next prime is 3460074257. The reversal of 3460074240 is 424700643.
It is a super-2 number, since 2×34600742402 = 23944227492623155200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 3460074198 and 3460074207.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 48733405 + ... + 48733475.
It is an arithmetic number, because the mean of its divisors is an integer number (23301600).
Almost surely, 23460074240 is an apocalyptic number.
3460074240 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 3460074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).
3460074240 is an abundant number, since it is smaller than the sum of its proper divisors (9961647360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3460074240 is an equidigital number, since it uses as much as digits as its factorization.
3460074240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 30.
The square root of 3460074240 is about 58822.3957349580. The cubic root of 3460074240 is about 1512.4991493290.
Adding to 3460074240 its reverse (424700643), we get a palindrome (3884774883).
The spelling of 3460074240 in words is "three billion, four hundred sixty million, seventy-four thousand, two hundred forty".
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