| Base | Representation |
|---|---|
| bin | 10010101101111… |
| … | …010001110000000 |
| 3 | 210212220010002100 |
| 4 | 102231322032000 |
| 5 | 1120342243312 |
| 6 | 51054350400 |
| 7 | 10532111202 |
| oct | 2255721600 |
| 9 | 725803070 |
| 10 | 314024832 |
| 11 | 151293560 |
| 12 | 891bb400 |
| 13 | 5009b614 |
| 14 | 2d9c4772 |
| 15 | 1c87e5dc |
| hex | 12b7a380 |
314024832 has 96 divisors (see below), whose sum is σ = 985827960. Its totient is φ = 95155200.
The previous prime is 314024831. The next prime is 314024861. The reversal of 314024832 is 238420413.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3140248322 = 197223190225256448, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 314024796 and 314024805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (314024831) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 282 + ... + 25062.
Almost surely, 2314024832 is an apocalyptic number.
314024832 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 314024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492913980).
314024832 is an abundant number, since it is smaller than the sum of its proper divisors (671803128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314024832 is a wasteful number, since it uses less digits than its factorization.
314024832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24812 (or 24797 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 314024832 is about 17720.7458082328. The cubic root of 314024832 is about 679.7063553358.
It can be divided in two parts, 3140 and 24832, that added together give a palindrome (27972).
The spelling of 314024832 in words is "three hundred fourteen million, twenty-four thousand, eight hundred thirty-two".
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