| Base | Representation |
|---|---|
| bin | 1110001101001010… |
| … | …0110111000110000 |
| 3 | 100211202102000022000 |
| 4 | 3203102212320300 |
| 5 | 30302201242104 |
| 6 | 1430220214000 |
| 7 | 163332364632 |
| oct | 34322467060 |
| 9 | 10752360260 |
| 10 | 3813305904 |
| 11 | 168756a191 |
| 12 | 8a509a300 |
| 13 | 48a045935 |
| 14 | 282636a52 |
| 15 | 174b98639 |
| hex | e34a6e30 |
3813305904 has 320 divisors, whose sum is σ = 12047978880. Its totient is φ = 1150156800.
The previous prime is 3813305879. The next prime is 3813305929. The reversal of 3813305904 is 4095033183.
3813305904 is a `hidden beast` number, since 38 + 1 + 3 + 30 + 590 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (3813305879) and next prime (3813305929).
It is a super-3 number, since 3×38133059043 (a number of 30 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37755454 + ... + 37755554.
It is an arithmetic number, because the mean of its divisors is an integer number (37649934).
Almost surely, 23813305904 is an apocalyptic number.
3813305904 is a gapful number since it is divisible by the number (34) 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 3813305904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023989440).
3813305904 is an abundant number, since it is smaller than the sum of its proper divisors (8234672976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3813305904 is a wasteful number, since it uses less digits than its factorization.
3813305904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 285 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 3813305904 is about 61751.9708511396. The cubic root of 3813305904 is about 1562.3100096588.
It can be divided in two parts, 3813305 and 904, that added together give a square (3814209 = 19532).
The spelling of 3813305904 in words is "three billion, eight hundred thirteen million, three hundred five thousand, nine hundred four".
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