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768880340 = 22523272673
BaseRepresentation
bin101101110101000…
…010111011010100
31222120210011112122
4231311002323110
53033313132330
6204143435112
725024242434
oct5565027324
91876704478
10768880340
113650161a8
121955b5a98
13c33a83a7
14741882c4
154777b5e5
hex2dd42ed4

768880340 has 36 divisors (see below), whose sum is σ = 1687926324. Its totient is φ = 294176256.

The previous prime is 768880331. The next prime is 768880351. The reversal of 768880340 is 43088867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 315275536 + 453604804 = 17756^2 + 21298^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 768880291 and 768880300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25757 + ... + 46916.

Almost surely, 2768880340 is an apocalyptic number.

It is an amenable number.

768880340 is an abundant number, since it is smaller than the sum of its proper divisors (919045984).

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

768880340 is a wasteful number, since it uses less digits than its factorization.

768880340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72728 (or 72703 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 768880340 is about 27728.6916388062. The cubic root of 768880340 is about 916.1211693665.

The spelling of 768880340 in words is "seven hundred sixty-eight million, eight hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 5290 10580 72673 145346 290692 363365 726730 1453460 1671479 3342958 6685916 8357395 16714790 33429580 38444017 76888034 153776068 192220085 384440170 768880340