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308476064 = 25132772677
BaseRepresentation
bin10010011000101…
…111100010100000
3210111110012121102
4102120233202200
51112432213224
650335413532
710434001061
oct2230574240
9714405542
10308476064
111491436a6
12873842a8
134bba7b20
142cd7c568
151c1354ae
hex1262f8a0

308476064 has 48 divisors (see below), whose sum is σ = 656634888. Its totient is φ = 141806592.

The previous prime is 308476061. The next prime is 308476073. The reversal of 308476064 is 460674803.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65739664 + 242736400 = 8108^2 + 15580^2 .

It is not an unprimeable number, because it can be changed into a prime (308476061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113894 + ... + 116570.

Almost surely, 2308476064 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 308476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328317444).

308476064 is an abundant number, since it is smaller than the sum of its proper divisors (348158824).

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

308476064 is a wasteful number, since it uses less digits than its factorization.

308476064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 308476064 is about 17563.4866697931. The cubic root of 308476064 is about 675.6791072949.

The spelling of 308476064 in words is "three hundred eight million, four hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 277 416 554 1108 2216 2677 3601 4432 5354 7202 8864 10708 14404 21416 28808 34801 42832 57616 69602 85664 115232 139204 278408 556816 741529 1113632 1483058 2966116 5932232 9639877 11864464 19279754 23728928 38559508 77119016 154238032 308476064