| Base | Representation |
|---|---|
| bin | 10100001010011… |
| … | …000001001000000 |
| 3 | 212120111121212000 |
| 4 | 110022120021000 |
| 5 | 1143043432030 |
| 6 | 53322104000 |
| 7 | 11245126200 |
| oct | 2412301100 |
| 9 | 776447760 |
| 10 | 338264640 |
| 11 | 163a3a25a |
| 12 | 9534b000 |
| 13 | 551077bc |
| 14 | 32cd4400 |
| 15 | 1ea6b860 |
| hex | 14298240 |
338264640 has 672 divisors, whose sum is σ = 1501079040. Its totient is φ = 71221248.
The previous prime is 338264621. The next prime is 338264681. The reversal of 338264640 is 46462833.
It is a happy number.
338264640 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 6 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×3382646402 = 228845933348659200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 338264595 and 338264604.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7197097 + ... + 7197143.
Almost surely, 2338264640 is an apocalyptic number.
338264640 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 338264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750539520).
338264640 is an abundant number, since it is smaller than the sum of its proper divisors (1162814400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338264640 is a wasteful number, since it uses less digits than its factorization.
338264640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 104 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 338264640 is about 18391.9721617884. The cubic root of 338264640 is about 696.7637276405.
The spelling of 338264640 in words is "three hundred thirty-eight million, two hundred sixty-four thousand, six hundred forty".
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