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304580640 = 253571319367
BaseRepresentation
bin10010001001111…
…000100000100000
3210020010022002110
4102021320200200
51110433040030
650120115320
710355615130
oct2211704040
9706108073
10304580640
11146a22a41
1286005b40
134b142a40
142c646ac0
151bb161b0
hex12278820

304580640 has 384 divisors, whose sum is σ = 1246371840. Its totient is φ = 60715008.

The previous prime is 304580609. The next prime is 304580641. The reversal of 304580640 is 46085403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304580598 and 304580607.

It is not an unprimeable number, because it can be changed into a prime (304580641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829737 + ... + 830103.

It is an arithmetic number, because the mean of its divisors is an integer number (3245760).

Almost surely, 2304580640 is an apocalyptic number.

304580640 is a gapful number since it is divisible by the number (30) 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 304580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623185920).

304580640 is an abundant number, since it is smaller than the sum of its proper divisors (941791200).

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

304580640 is a wasteful number, since it uses less digits than its factorization.

304580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 304580640 is about 17452.2388248614. The cubic root of 304580640 is about 672.8229006322.

The spelling of 304580640 in words is "three hundred four million, five hundred eighty thousand, six hundred forty".