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768816342 = 232719321143
BaseRepresentation
bin101101110100110…
…011010011010110
31222120122220202100
4231310303103112
53033304110332
6204142222530
725023555030
oct5564632326
91876586670
10768816342
11364a82108
12195584a46
13c3385218
147416cc50
154776767c
hex2dd334d6

768816342 has 48 divisors (see below), whose sum is σ = 2003938560. Its totient is φ = 208100016.

The previous prime is 768816341. The next prime is 768816359. The reversal of 768816342 is 243618867.

768816342 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 1 + 634 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768816341) 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 23 ways as a sum of consecutive naturals, for example, 158178 + ... + 162965.

It is an arithmetic number, because the mean of its divisors is an integer number (41748720).

Almost surely, 2768816342 is an apocalyptic number.

768816342 is an abundant number, since it is smaller than the sum of its proper divisors (1235122218).

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

768816342 is a wasteful number, since it uses less digits than its factorization.

768816342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321177 (or 321174 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 768816342 is about 27727.5376115514. The cubic root of 768816342 is about 916.0957507822.

The spelling of 768816342 in words is "seven hundred sixty-eight million, eight hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 321143 642286 963429 1926858 2248001 2890287 4496002 5780574 6101717 6744003 12203434 13488006 18305151 20232009 36610302 40464018 42712019 54915453 85424038 109830906 128136057 256272114 384408171 768816342