| Base | Representation |
|---|---|
| bin | 1100101100010100… |
| … | …1100010000010000 |
| 3 | 22210110010102121100 |
| 4 | 3023011030100100 |
| 5 | 23434211321020 |
| 6 | 1322030424400 |
| 7 | 150301114260 |
| oct | 31305142020 |
| 9 | 8713112540 |
| 10 | 3407135760 |
| 11 | 149926a586 |
| 12 | 7b1062100 |
| 13 | 423b53a82 |
| 14 | 2447077a0 |
| 15 | 14e1b6a90 |
| hex | cb14c410 |
3407135760 has 240 divisors, whose sum is σ = 13528419840. Its totient is φ = 751887360.
The previous prime is 3407135759. The next prime is 3407135761. The reversal of 3407135760 is 675317043.
It is an interprime number because it is at equal distance from previous prime (3407135759) and next prime (3407135761).
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 (36).
It is not an unprimeable number, because it can be changed into a prime (3407135761) 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 47 ways as a sum of consecutive naturals, for example, 134505 + ... + 157815.
It is an arithmetic number, because the mean of its divisors is an integer number (56368416).
Almost surely, 23407135760 is an apocalyptic number.
3407135760 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 3407135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764209920).
3407135760 is an abundant number, since it is smaller than the sum of its proper divisors (10121284080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3407135760 is a wasteful number, since it uses less digits than its factorization.
3407135760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23366 (or 23357 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The square root of 3407135760 is about 58370.6755143368. The cubic root of 3407135760 is about 1504.7458222785.
The spelling of 3407135760 in words is "three billion, four hundred seven million, one hundred thirty-five thousand, seven hundred sixty".
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