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307137144 = 23329607727
BaseRepresentation
bin10010010011101…
…000101001111000
3210101221011221210
4102103220221320
51112111342034
650251003120
710416423366
oct2223505170
9711834853
10307137144
11148409756
1286a394a0
134b829572
142cb10636
151be6d8e9
hex124e8a78

307137144 has 64 divisors (see below), whose sum is σ = 796723200. Its totient is φ = 98550144.

The previous prime is 307137143. The next prime is 307137161. The reversal of 307137144 is 441731703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307137143) 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, 422109 + ... + 422835.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2307137144 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 307137144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

307137144 is an abundant number, since it is smaller than the sum of its proper divisors (489586056).

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

307137144 is a wasteful number, since it uses less digits than its factorization.

307137144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 307137144 is about 17525.3286417117. The cubic root of 307137144 is about 674.7001093075.

Adding to 307137144 its reverse (441731703), we get a palindrome (748868847).

The spelling of 307137144 in words is "three hundred seven million, one hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 607 696 727 1214 1454 1821 2181 2428 2908 3642 4362 4856 5816 7284 8724 14568 17448 17603 21083 35206 42166 52809 63249 70412 84332 105618 126498 140824 168664 211236 252996 422472 441289 505992 882578 1323867 1765156 2647734 3530312 5295468 10590936 12797381 25594762 38392143 51189524 76784286 102379048 153568572 307137144