| Base | Representation |
|---|---|
| bin | 1101100100011010… |
| … | …1101111000000000 |
| 3 | 100101211211221022000 |
| 4 | 3121012231320000 |
| 5 | 24424424313030 |
| 6 | 1401233344000 |
| 7 | 156156013332 |
| oct | 33106557000 |
| 9 | 10354757260 |
| 10 | 3642416640 |
| 11 | 15aa05a595 |
| 12 | 857a08000 |
| 13 | 460811925 |
| 14 | 267a71452 |
| 15 | 164b8e860 |
| hex | d91ade00 |
3642416640 has 160 divisors (see below), whose sum is σ = 12938412960. Its totient is φ = 971292672.
The previous prime is 3642416633. The next prime is 3642416663. The reversal of 3642416640 is 466142463.
3642416640 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 4 + 1 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (160).
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 = 3642416595 and 3642416604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42772 + ... + 95468.
It is an arithmetic number, because the mean of its divisors is an integer number (80865081).
Almost surely, 23642416640 is an apocalyptic number.
3642416640 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 3642416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469206480).
3642416640 is an abundant number, since it is smaller than the sum of its proper divisors (9295996320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3642416640 is an equidigital number, since it uses as much as digits as its factorization.
3642416640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 52729 (or 52707 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 3642416640 is about 60352.4369019181. The cubic root of 3642416640 is about 1538.6146871951.
It can be divided in two parts, 364241 and 6640, that added together give a square (370881 = 6092).
The spelling of 3642416640 in words is "three billion, six hundred forty-two million, four hundred sixteen thousand, six hundred forty".
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