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307460672 = 26712953
BaseRepresentation
bin10010010100110…
…111101001000000
3210102112121202022
4102110313221000
51112202220142
650301541012
710422241541
oct2224675100
9712477668
10307460672
1114860a832
1286b74768
134b9108bc
142cb964c8
151bed46d2
hex12537a40

307460672 has 42 divisors (see below), whose sum is σ = 619480854. Its totient is φ = 151406080.

The previous prime is 307460669. The next prime is 307460689. The reversal of 307460672 is 276064703.

It can be written as a sum of positive squares in only one way, i.e., 252937216 + 54523456 = 15904^2 + 7384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322148 + ... + 323100.

Almost surely, 2307460672 is an apocalyptic number.

307460672 is a gapful number since it is divisible by the number (32) 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 307460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309740427).

307460672 is an abundant number, since it is smaller than the sum of its proper divisors (312020182).

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

307460672 is an frugal number, since it uses more digits than its factorization.

307460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 307460672 is about 17534.5565099320. The cubic root of 307460672 is about 674.9369283546.

The spelling of 307460672 in words is "three hundred seven million, four hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 953 1136 1906 2272 3812 4544 5041 7624 10082 15248 20164 30496 40328 60992 67663 80656 135326 161312 270652 322624 541304 1082608 2165216 4330432 4804073 9608146 19216292 38432584 76865168 153730336 307460672