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768074436 = 2232208710223
BaseRepresentation
bin101101110001111…
…110001011000100
31222112021020001100
4231301332023010
53033111340221
6204114300100
725014345033
oct5561761304
91875236040
10768074436
11364615768
12195287630
13c318561c
147401871a
154766c926
hex2dc7e2c4

768074436 has 36 divisors (see below), whose sum is σ = 1942641792. Its totient is φ = 255877104.

The previous prime is 768074429. The next prime is 768074459. The reversal of 768074436 is 634470867.

768074436 is a `hidden beast` number, since 76 + 80 + 74 + 436 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 768074391 and 768074400.

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, 70021 + ... + 80243.

It is an arithmetic number, because the mean of its divisors is an integer number (53962272).

Almost surely, 2768074436 is an apocalyptic number.

It is an amenable number.

768074436 is an abundant number, since it is smaller than the sum of its proper divisors (1174567356).

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

768074436 is a wasteful number, since it uses less digits than its factorization.

768074436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 768074436 is about 27714.1558774573. The cubic root of 768074436 is about 915.8009791804.

The spelling of 768074436 in words is "seven hundred sixty-eight million, seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2087 4174 6261 8348 10223 12522 18783 20446 25044 30669 37566 40892 61338 75132 92007 122676 184014 368028 21335401 42670802 64006203 85341604 128012406 192018609 256024812 384037218 768074436