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307420776 = 233213536197
BaseRepresentation
bin10010010100101…
…101111001101000
3210102110121000200
4102110231321220
51112144431101
650301032200
710422014325
oct2224557150
9712417020
10307420776
11148592863
1286b55660
134b8c86b0
142cb85b4c
151bec7986
hex1252de68

307420776 has 96 divisors (see below), whose sum is σ = 913709160. Its totient is φ = 92791296.

The previous prime is 307420759. The next prime is 307420787. The reversal of 307420776 is 677024703.

It can be written as a sum of positive squares in 4 ways, for example, as 229522500 + 77898276 = 15150^2 + 8826^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 307420776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46510 + ... + 52706.

Almost surely, 2307420776 is an apocalyptic number.

307420776 is a gapful number since it is divisible by the number (36) 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 307420776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456854580).

307420776 is an abundant number, since it is smaller than the sum of its proper divisors (606288384).

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

307420776 is a wasteful number, since it uses less digits than its factorization.

307420776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 307420776 is about 17533.4188337586. The cubic root of 307420776 is about 674.9077338907.

The spelling of 307420776 in words is "three hundred seven million, four hundred twenty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 3816 4134 5512 6197 6201 8268 12394 12402 16536 18591 24788 24804 37182 49576 49608 55773 74364 80561 111546 148728 161122 223092 241683 322244 328441 446184 483366 644488 656882 725049 966732 985323 1313764 1450098 1933464 1970646 2627528 2900196 2955969 3941292 4269733 5800392 5911938 7882584 8539466 11823876 12809199 17078932 23647752 25618398 34157864 38427597 51236796 76855194 102473592 153710388 307420776