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307515340 = 225114633019
BaseRepresentation
bin10010010101000…
…100111111001100
3210102122101202001
4102111010333030
51112210442330
650303042044
710422560116
oct2225047714
9712571661
10307515340
11148647910
1286ba0324
134b92c752
142cbac3b6
151bee59ca
hex12544fcc

307515340 has 48 divisors (see below), whose sum is σ = 706245120. Its totient is φ = 111545280.

The previous prime is 307515337. The next prime is 307515343. The reversal of 307515340 is 43515703.

307515340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (307515337) and next prime (307515343).

It is a junction number, because it is equal to n+sod(n) for n = 307515299 and 307515308.

It is not an unprimeable number, because it can be changed into a prime (307515343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100351 + ... + 103369.

It is an arithmetic number, because the mean of its divisors is an integer number (14713440).

Almost surely, 2307515340 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 307515340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353122560).

307515340 is an abundant number, since it is smaller than the sum of its proper divisors (398729780).

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

307515340 is a wasteful number, since it uses less digits than its factorization.

307515340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 307515340 is about 17536.1153052778. The cubic root of 307515340 is about 674.9769283381.

The spelling of 307515340 in words is "three hundred seven million, five hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 463 926 1852 2315 3019 4630 5093 6038 9260 10186 12076 15095 20372 25465 30190 33209 50930 60380 66418 101860 132836 166045 332090 664180 1397797 2795594 5591188 6988985 13977970 15375767 27955940 30751534 61503068 76878835 153757670 307515340