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307300352 = 211181829
BaseRepresentation
bin10010010100010…
…000100000000000
3210102020110211112
4102110100200000
51112132102402
650254302452
710421003252
oct2224204000
9712213745
10307300352
11148510337
1286ab7a28
134b885938
142cb53cd2
151bea1e52
hex12510800

307300352 has 48 divisors (see below), whose sum is σ = 618590700. Its totient is φ = 152616960.

The previous prime is 307300351. The next prime is 307300363. The reversal of 307300352 is 253003703.

It can be written as a sum of positive squares in 2 ways, for example, as 280093696 + 27206656 = 16736^2 + 5216^2 .

It is not an unprimeable number, because it can be changed into a prime (307300351) 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, 370274 + ... + 371102.

Almost surely, 2307300352 is an apocalyptic number.

307300352 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 307300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309295350).

307300352 is an abundant number, since it is smaller than the sum of its proper divisors (311290348).

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

307300352 is an equidigital number, since it uses as much as digits as its factorization.

307300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 23.

The square root of 307300352 is about 17529.9843696451. The cubic root of 307300352 is about 674.8195965991.

The spelling of 307300352 in words is "three hundred seven million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 512 724 829 1024 1448 1658 2048 2896 3316 5792 6632 11584 13264 23168 26528 46336 53056 92672 106112 150049 185344 212224 300098 370688 424448 600196 848896 1200392 1697792 2400784 4801568 9603136 19206272 38412544 76825088 153650176 307300352