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306297420 = 22351113291231
BaseRepresentation
bin10010010000011…
…011101001001100
3210100100112001220
4102100123221030
51111403004140
650221003340
710406325252
oct2220335114
9710315056
10306297420
11147995870
12866b3550
134b5c42a0
142c9725d2
151bd54bd0
hex1241ba4c

306297420 has 192 divisors, whose sum is σ = 1043159040. Its totient is φ = 66124800.

The previous prime is 306297403. The next prime is 306297437. The reversal of 306297420 is 24792603.

It is an interprime number because it is at equal distance from previous prime (306297403) and next prime (306297437).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248205 + ... + 249435.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2306297420 is an apocalyptic number.

306297420 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 306297420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521579520).

306297420 is an abundant number, since it is smaller than the sum of its proper divisors (736861620).

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

306297420 is a wasteful number, since it uses less digits than its factorization.

306297420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 306297420 is about 17501.3548047001. The cubic root of 306297420 is about 674.0846632928.

The spelling of 306297420 in words is "three hundred six million, two hundred ninety-seven thousand, four hundred twenty".