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307509696 = 2637133
BaseRepresentation
bin10010010101000…
…011100111000000
3210102122010000000
4102111003213000
51112210302241
650303000000
710422534504
oct2225034700
9712563000
10307509696
1114864364a
1286b99000
134b92a000
142cbaa304
151bee3eb6
hex125439c0

307509696 has 224 divisors, whose sum is σ = 991412800. Its totient is φ = 94618368.

The previous prime is 307509679. The next prime is 307509703. The reversal of 307509696 is 696905703.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=468.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23654586 + ... + 23654598.

It is an arithmetic number, because the mean of its divisors is an integer number (4425950).

Almost surely, 2307509696 is an apocalyptic number.

307509696 is a gapful number since it is divisible by the number (36) 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 307509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495706400).

307509696 is an abundant number, since it is smaller than the sum of its proper divisors (683903104).

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

307509696 is an frugal number, since it uses more digits than its factorization.

307509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 307509696 is about 17535.9543795027. The cubic root of 307509696 is about 674.9727989039.

The spelling of 307509696 in words is "three hundred seven million, five hundred nine thousand, six hundred ninety-six".