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307420806 = 237211234133
BaseRepresentation
bin10010010100101…
…101111010000110
3210102110121001210
4102110231322012
51112144431211
650301032250
710422014400
oct2224557206
9712417053
10307420806
11148592890
1286b55686
134b8c8704
142cb85b70
151bec79a6
hex1252de86

307420806 has 96 divisors (see below), whose sum is σ = 814364928. Its totient is φ = 76359360.

The previous prime is 307420801. The next prime is 307420807. The reversal of 307420806 is 608024703.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307420801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72316 + ... + 76448.

It is an arithmetic number, because the mean of its divisors is an integer number (8482968).

Almost surely, 2307420806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307420806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407182464).

307420806 is an abundant number, since it is smaller than the sum of its proper divisors (506944122).

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

307420806 is a wasteful number, since it uses less digits than its factorization.

307420806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 307420806 is about 17533.4196892677. The cubic root of 307420806 is about 674.9077558446.

The spelling of 307420806 in words is "three hundred seven million, four hundred twenty thousand, eight hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 462 483 506 539 759 966 1078 1127 1518 1617 1771 2254 3234 3381 3542 4133 5313 6762 8266 10626 12397 12399 24794 24798 28931 37191 45463 57862 74382 86793 90926 95059 136389 173586 190118 202517 272778 285177 318241 405034 570354 607551 636482 665413 954723 1045649 1215102 1330826 1909446 1996239 2091298 2227687 3136947 3992478 4455374 4657891 6273894 6683061 7319543 9315782 13366122 13973673 14639086 21958629 27947346 43917258 51236801 102473602 153710403 307420806