Base | Representation |
---|---|
bin | 10001111100000… |
… | …111000111000000 |
3 | 202222022212211001 |
4 | 101330013013000 |
5 | 1104022023212 |
6 | 45510501344 |
7 | 10313130550 |
oct | 2174070700 |
9 | 688285731 |
10 | 300970432 |
11 | 1449875a4 |
12 | 84964854 |
13 | 4a47a719 |
14 | 2bd87160 |
15 | 1b651657 |
hex | 11f071c0 |
300970432 has 112 divisors (see below), whose sum is σ = 714093568. Its totient is φ = 123171840.
The previous prime is 300970409. The next prime is 300970441. The reversal of 300970432 is 234079003.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 300970432.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110457 + ... + 1110727.
Almost surely, 2300970432 is an apocalyptic number.
300970432 is a gapful number since it is divisible by the number (32) 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 300970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357046784).
300970432 is an abundant number, since it is smaller than the sum of its proper divisors (413123136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300970432 is a wasteful number, since it uses less digits than its factorization.
300970432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 394 (or 384 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 28.
The square root of 300970432 is about 17348.4994163760. The cubic root of 300970432 is about 670.1539944536.
It can be divided in two parts, 3009 and 70432, that added together give a square (73441 = 2712).
The spelling of 300970432 in words is "three hundred million, nine hundred seventy thousand, four hundred thirty-two".
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