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307427320 = 235172931543
BaseRepresentation
bin10010010100101…
…111011111111000
3210102110221000001
4102110233133320
51112200133240
650301122344
710422042364
oct2224573770
9712427001
10307427320
11148597772
1286b593b4
134b8cb675
142cb882a4
151bec989a
hex1252f7f8

307427320 has 64 divisors (see below), whose sum is σ = 735376320. Its totient is φ = 115267584.

The previous prime is 307427299. The next prime is 307427321. The reversal of 307427320 is 23724703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307427321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198469 + ... + 200011.

It is an arithmetic number, because the mean of its divisors is an integer number (11490255).

Almost surely, 2307427320 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 307427320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367688160).

307427320 is an abundant number, since it is smaller than the sum of its proper divisors (427949000).

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

307427320 is a wasteful number, since it uses less digits than its factorization.

307427320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 307427320 is about 17533.6054478250. The cubic root of 307427320 is about 674.9125227287.

The spelling of 307427320 in words is "three hundred seven million, four hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 293 340 586 680 1172 1465 1543 2344 2930 3086 4981 5860 6172 7715 9962 11720 12344 15430 19924 24905 26231 30860 39848 49810 52462 61720 99620 104924 131155 199240 209848 262310 452099 524620 904198 1049240 1808396 2260495 3616792 4520990 7685683 9041980 15371366 18083960 30742732 38428415 61485464 76856830 153713660 307427320