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307062920 = 23553241601
BaseRepresentation
bin10010010011010…
…110100010001000
3210101210102010202
4102103112202020
51112102003140
650245231332
710415664113
oct2223264210
9711712122
10307062920
11148368a0a
1286a02548
134b801848
142cad157a
151be56915
hex124d6888

307062920 has 64 divisors (see below), whose sum is σ = 708024240. Its totient is φ = 119808000.

The previous prime is 307062913. The next prime is 307062941. The reversal of 307062920 is 29260703.

It can be written as a sum of positive squares in 8 ways, for example, as 255424324 + 51638596 = 15982^2 + 7186^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510620 + ... + 511220.

Almost surely, 2307062920 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 307062920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354012120).

307062920 is an abundant number, since it is smaller than the sum of its proper divisors (400961320).

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

307062920 is a wasteful number, since it uses less digits than its factorization.

307062920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 307062920 is about 17523.2108929842. The cubic root of 307062920 is about 674.6457546796.

The spelling of 307062920 in words is "three hundred seven million, sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 241 265 424 482 530 601 964 1060 1202 1205 1928 2120 2404 2410 3005 4808 4820 6010 9640 12020 12773 24040 25546 31853 51092 63706 63865 102184 127412 127730 144841 159265 254824 255460 289682 318530 510920 579364 637060 724205 1158728 1274120 1448410 2896820 5793640 7676573 15353146 30706292 38382865 61412584 76765730 153531460 307062920