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307815072 = 25323139409
BaseRepresentation
bin10010010110001…
…110001010100000
3210110012121220020
4102112032022200
51112300040242
650313313440
710425246015
oct2226161240
9713177806
10307815072
11148832024
1287105880
134ba05cc6
142cc4970c
151c0546ec
hex1258e2a0

307815072 has 48 divisors (see below), whose sum is σ = 843151680. Its totient is φ = 98143232.

The previous prime is 307815071. The next prime is 307815097. The reversal of 307815072 is 270518703.

307815072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (307815071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67497 + ... + 71912.

It is an arithmetic number, because the mean of its divisors is an integer number (17565660).

Almost surely, 2307815072 is an apocalyptic number.

307815072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

307815072 is an abundant number, since it is smaller than the sum of its proper divisors (535336608).

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

307815072 is a wasteful number, since it uses less digits than its factorization.

307815072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139445 (or 139437 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 307815072 is about 17544.6593583347. The cubic root of 307815072 is about 675.1961547889.

It can be divided in two parts, 30781 and 5072, that added together give a palindrome (35853).

The spelling of 307815072 in words is "three hundred seven million, eight hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 139409 278818 418227 557636 836454 1115272 1672908 2230544 3206407 3345816 4461088 6412814 6691632 9619221 12825628 13383264 19238442 25651256 38476884 51302512 76953768 102605024 153907536 307815072