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307145728 = 2102910343
BaseRepresentation
bin10010010011101…
…010110000000000
3210101221121201201
4102103222300000
51112112130403
650251110544
710416460411
oct2223526000
9711847651
10307145728
1114841514a
1286a42454
134b830446
142cb13808
151be7121d
hex124eac00

307145728 has 44 divisors (see below), whose sum is σ = 635225040. Its totient is φ = 148262912.

The previous prime is 307145723. The next prime is 307145743. The reversal of 307145728 is 827541703.

It is not an unprimeable number, because it can be changed into a prime (307145723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24525 + ... + 34867.

Almost surely, 2307145728 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 307145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317612520).

307145728 is an abundant number, since it is smaller than the sum of its proper divisors (328079312).

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

307145728 is a wasteful number, since it uses less digits than its factorization.

307145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 307145728 is about 17525.5735426833. The cubic root of 307145728 is about 674.7063948512.

The spelling of 307145728 in words is "three hundred seven million, one hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 10343 14848 20686 29696 41372 82744 165488 299947 330976 599894 661952 1199788 1323904 2399576 2647808 4799152 5295616 9598304 10591232 19196608 38393216 76786432 153572864 307145728