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307666368 = 2632691773
BaseRepresentation
bin10010010101101…
…001110111000000
3210102221001220200
4102111221313000
51112230310433
650310205200
710424056332
oct2225516700
9712831820
10307666368
11148740329
1287053800
134b983409
142cc0b452
151c025613
hex12569dc0

307666368 has 84 divisors (see below), whose sum is σ = 884288808. Its totient is φ = 102274560.

The previous prime is 307666367. The next prime is 307666397. The reversal of 307666368 is 863666703.

It is a super-2 number, since 2×3076663682 = 189317187996622848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307666361) 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, 397630 + ... + 398402.

Almost surely, 2307666368 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 307666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442144404).

307666368 is an abundant number, since it is smaller than the sum of its proper divisors (576622440).

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

307666368 is a wasteful number, since it uses less digits than its factorization.

307666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 307666368 is about 17540.4209755638. The cubic root of 307666368 is about 675.0874092566.

The spelling of 307666368 in words is "three hundred seven million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 691 773 1382 1546 2073 2319 2764 3092 4146 4638 5528 6184 6219 6957 8292 9276 11056 12368 12438 13914 16584 18552 22112 24736 24876 27828 33168 37104 44224 49472 49752 55656 66336 74208 99504 111312 132672 148416 199008 222624 398016 445248 534143 1068286 1602429 2136572 3204858 4273144 4807287 6409716 8546288 9614574 12819432 17092576 19229148 25638864 34185152 38458296 51277728 76916592 102555456 153833184 307666368