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304430056320 = 27351323725357
BaseRepresentation
bin1000110111000010111…
…00100000001110000000
31002002210020212012120010
410123201130200032000
514441433043300240
6351504144344520
730665026532415
oct4334134401600
91062706765503
10304430056320
11108120915175
124b001015140
1322927886400
1410a3d64210c
157dbb583280
hex46e1720380

304430056320 has 384 divisors, whose sum is σ = 1079197935840. Its totient is φ = 72908439552.

The previous prime is 304430056319. The next prime is 304430056339. The reversal of 304430056320 is 23650034403.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11993082 + ... + 12018438.

Almost surely, 2304430056320 is an apocalyptic number.

304430056320 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 304430056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539598967920).

304430056320 is an abundant number, since it is smaller than the sum of its proper divisors (774767879520).

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

304430056320 is a wasteful number, since it uses less digits than its factorization.

304430056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25442 (or 25417 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 304430056320 in words is "three hundred four billion, four hundred thirty million, fifty-six thousand, three hundred twenty".