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304742071260 = 2233511618310133
BaseRepresentation
bin1000110111101000000…
…10101111101111011100
31002010120222222012121000
410123310002233233130
514443102432240020
6351555132110300
731005535603104
oct4336402575734
91063528865530
10304742071260
11108270a55660
124b089605390
13229773ccc33
1410a6cc62204
157dd8b67090
hex46f40afbdc

304742071260 has 384 divisors, whose sum is σ = 1064001899520. Its totient is φ = 71783193600.

The previous prime is 304742071223. The next prime is 304742071261. The reversal of 304742071260 is 62170247403.

304742071260 is a `hidden beast` number, since 304 + 7 + 4 + 20 + 71 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304742071261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30069154 + ... + 30079286.

It is an arithmetic number, because the mean of its divisors is an integer number (2770838280).

Almost surely, 2304742071260 is an apocalyptic number.

304742071260 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 304742071260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532000949760).

304742071260 is an abundant number, since it is smaller than the sum of its proper divisors (759259828260).

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

304742071260 is a wasteful number, since it uses less digits than its factorization.

304742071260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 304742071260 in words is "three hundred four billion, seven hundred forty-two million, seventy-one thousand, two hundred sixty".