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307077664 = 25175091109
BaseRepresentation
bin10010010011011…
…010001000100000
3210101211011100211
4102103122020200
51112102441124
650245423504
710416055105
oct2223321040
9711734324
10307077664
11148378aa3
1286a0ab94
134b80847a
142cad6aac
151be5ae94
hex124da220

307077664 has 48 divisors (see below), whose sum is σ = 641957400. Its totient is φ = 144093184.

The previous prime is 307077629. The next prime is 307077697. The reversal of 307077664 is 466770703.

It can be written as a sum of positive squares in 4 ways, for example, as 259467664 + 47610000 = 16108^2 + 6900^2 .

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, 276342 + ... + 277450.

Almost surely, 2307077664 is an apocalyptic number.

307077664 is a gapful number since it is divisible by the number (34) 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 307077664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320978700).

307077664 is an abundant number, since it is smaller than the sum of its proper divisors (334879736).

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

307077664 is a wasteful number, since it uses less digits than its factorization.

307077664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The square root of 307077664 is about 17523.6315870883. The cubic root of 307077664 is about 674.6565524859.

The spelling of 307077664 in words is "three hundred seven million, seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 509 544 1018 1109 2036 2218 4072 4436 8144 8653 8872 16288 17306 17744 18853 34612 35488 37706 69224 75412 138448 150824 276896 301648 564481 603296 1128962 2257924 4515848 9031696 9596177 18063392 19192354 38384708 76769416 153538832 307077664