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307112526 = 2337812467
BaseRepresentation
bin10010010011100…
…010101001001110
3210101212221012000
4102103202221032
51112110100101
650250253130
710416261540
oct2223425116
9711787160
10307112526
111483a2206
1286a271a6
134b81b2b6
142cb05690
151be66486
hex124e2a4e

307112526 has 32 divisors (see below), whose sum is σ = 779969280. Its totient is φ = 87746328.

The previous prime is 307112503. The next prime is 307112527. The reversal of 307112526 is 625211703.

It is a happy number.

307112526 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3071125262 = 188636207252201352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 307112526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307112527) 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 15 ways as a sum of consecutive naturals, for example, 405856 + ... + 406611.

It is an arithmetic number, because the mean of its divisors is an integer number (24374040).

Almost surely, 2307112526 is an apocalyptic number.

307112526 is an abundant number, since it is smaller than the sum of its proper divisors (472856754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

307112526 is a wasteful number, since it uses less digits than its factorization.

307112526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812485 (or 812479 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 307112526 is about 17524.6262727626. The cubic root of 307112526 is about 674.6820823866.

The spelling of 307112526 in words is "three hundred seven million, one hundred twelve thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 812467 1624934 2437401 4874802 5687269 7312203 11374538 14624406 17061807 21936609 34123614 43873218 51185421 102370842 153556263 307112526