Base | Representation |
---|---|
bin | 10110110111110… |
… | …101001010101000 |
3 | 222202001201200200 |
4 | 112313311022220 |
5 | 1241214000230 |
6 | 102024432200 |
7 | 12336455205 |
oct | 2667651250 |
9 | 882051620 |
10 | 383734440 |
11 | 187676401 |
12 | a8618660 |
13 | 61667bcb |
14 | 38d6ccac |
15 | 23a4e160 |
hex | 16df52a8 |
383734440 has 96 divisors (see below), whose sum is σ = 1258306920. Its totient is φ = 101412864.
The previous prime is 383734423. The next prime is 383734459. The reversal of 383734440 is 44437383.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 228432996 + 155301444 = 15114^2 + 12462^2 .
It is a super-2 number, since 2×3837344402 = 294504240884227200, which contains 22 as substring.
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 = 383734395 and 383734404.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35964 + ... + 45396.
Almost surely, 2383734440 is an apocalyptic number.
383734440 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 383734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629153460).
383734440 is an abundant number, since it is smaller than the sum of its proper divisors (874572480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
383734440 is a wasteful number, since it uses less digits than its factorization.
383734440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9563 (or 9556 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 36.
The square root of 383734440 is about 19589.1408693694. The cubic root of 383734440 is about 726.6806448321.
The spelling of 383734440 in words is "three hundred eighty-three million, seven hundred thirty-four thousand, four hundred forty".
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