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306415968 = 2533319643
BaseRepresentation
bin10010010000111…
…000100101100000
3210100120112200120
4102100320211200
51111420302333
650223320240
710410331005
oct2220704540
9710515616
10306415968
11147a66941
1286750080
134b636231
142c9a38ac
151bd79db3
hex12438960

306415968 has 48 divisors (see below), whose sum is σ = 806855616. Its totient is φ = 101819520.

The previous prime is 306415937. The next prime is 306415987. The reversal of 306415968 is 869514603.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26955 + ... + 36597.

It is an arithmetic number, because the mean of its divisors is an integer number (16809492).

Almost surely, 2306415968 is an apocalyptic number.

It is an amenable number.

306415968 is an abundant number, since it is smaller than the sum of its proper divisors (500439648).

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

306415968 is a wasteful number, since it uses less digits than its factorization.

306415968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 306415968 is about 17504.7413005734. The cubic root of 306415968 is about 674.1716169922.

The spelling of 306415968 in words is "three hundred six million, four hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3972 5296 7944 9643 10592 15888 19286 28929 31776 38572 57858 77144 115716 154288 231432 308576 462864 925728 3191833 6383666 9575499 12767332 19150998 25534664 38301996 51069328 76603992 102138656 153207984 306415968