| Base | Representation |
|---|---|
| bin | 10100001100110… |
| … | …001111100110000 |
| 3 | 212121200122001100 |
| 4 | 110030301330300 |
| 5 | 1143224112030 |
| 6 | 53343404400 |
| 7 | 11253362010 |
| oct | 2414617460 |
| 9 | 777618040 |
| 10 | 338894640 |
| 11 | 16432a617 |
| 12 | 955b3700 |
| 13 | 55298496 |
| 14 | 33019c40 |
| 15 | 1eb43360 |
| hex | 14331f30 |
338894640 has 240 divisors, whose sum is σ = 1369555200. Its totient is φ = 73363968.
The previous prime is 338894639. The next prime is 338894657. The reversal of 338894640 is 46498833.
338894640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×3388946402 = 229699154041459200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 47 ways as a sum of consecutive naturals, for example, 93991 + ... + 97529.
It is an arithmetic number, because the mean of its divisors is an integer number (5706480).
Almost surely, 2338894640 is an apocalyptic number.
338894640 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 338894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684777600).
338894640 is an abundant number, since it is smaller than the sum of its proper divisors (1030660560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338894640 is a wasteful number, since it uses less digits than its factorization.
338894640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3584 (or 3575 counting only the distinct ones).
The product of its (nonzero) digits is 497664, while the sum is 45.
The square root of 338894640 is about 18409.0912323232. The cubic root of 338894640 is about 697.1960212396.
The spelling of 338894640 in words is "three hundred thirty-eight million, eight hundred ninety-four thousand, six hundred forty".
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