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306539680 = 2553136121
BaseRepresentation
bin10010010001010…
…110110010100000
3210100210211101111
4102101112302200
51111433232210
650230113104
710411354456
oct2221266240
9710724344
10306539680
11148040887
12867ab794
134b67a635
142c9d69d6
151bda188a
hex12456ca0

306539680 has 48 divisors (see below), whose sum is σ = 726632424. Its totient is φ = 122204160.

The previous prime is 306539677. The next prime is 306539707. The reversal of 306539680 is 86935603.

It can be written as a sum of positive squares in 4 ways, for example, as 79495056 + 227044624 = 8916^2 + 15068^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 47020 + ... + 53140.

Almost surely, 2306539680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363316212).

306539680 is an abundant number, since it is smaller than the sum of its proper divisors (420092744).

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

306539680 is a wasteful number, since it uses less digits than its factorization.

306539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 306539680 is about 17508.2746151641. The cubic root of 306539680 is about 674.2623345199.

The spelling of 306539680 in words is "three hundred six million, five hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6121 6260 10016 12242 12520 24484 25040 30605 48968 50080 61210 97936 122420 195872 244840 489680 979360 1915873 3831746 7663492 9579365 15326984 19158730 30653968 38317460 61307936 76634920 153269840 306539680