Base | Representation |
---|---|
bin | 110111011111000… |
… | …010100011110000 |
3 | 2101212121210112200 |
4 | 313133002203300 |
5 | 3401301240244 |
6 | 232212023200 |
7 | 32032245003 |
oct | 6737024360 |
9 | 2355553480 |
10 | 930883824 |
11 | 438506882 |
12 | 21b901b00 |
13 | 11ab1aa40 |
14 | 8b8b953a |
15 | 56acc669 |
hex | 377c28f0 |
930883824 has 120 divisors (see below), whose sum is σ = 2970716112. Its totient is φ = 269568000.
The previous prime is 930883819. The next prime is 930883859. The reversal of 930883824 is 428388039.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 930883824.
It is a congruent number.
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, 17199 + ... + 46449.
Almost surely, 2930883824 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 930883824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485358056).
930883824 is an abundant number, since it is smaller than the sum of its proper divisors (2039832288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
930883824 is a wasteful number, since it uses less digits than its factorization.
930883824 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29295 (or 29286 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The square root of 930883824 is about 30510.3887880833. The cubic root of 930883824 is about 976.4091214566.
The spelling of 930883824 in words is "nine hundred thirty million, eight hundred eighty-three thousand, eight hundred twenty-four".
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