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77334436 = 2243972
BaseRepresentation
bin1001001110000…
…00011110100100
312101111222220101
410213000132210
5124244200221
611401313444
71626221554
oct447003644
9171458811
1077334436
113a720563
1221a95884
131303902a
14a3b1164
156bc8d91
hex49c07a4

77334436 has 9 divisors (see below), whose sum is σ = 135366049. Its totient is φ = 38658424.

The previous prime is 77334431. The next prime is 77334451. The reversal of 77334436 is 63443377.

It is a happy number.

The square root of 77334436 is 8794.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37088100 + 40246336 = 6090^2 + 6344^2 .

It is a super-2 number, since 2×773344362 = 11961229982876192, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77334395 and 77334404.

It is not an unprimeable number, because it can be changed into a prime (77334431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15390 + ... + 19786.

Almost surely, 277334436 is an apocalyptic number.

77334436 is the 8794-th square number.

It is an amenable number.

77334436 is a deficient number, since it is larger than the sum of its proper divisors (58031613).

77334436 is an frugal number, since it uses more digits than its factorization.

77334436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 4399 counting only the distinct ones).

The product of its digits is 127008, while the sum is 37.

The cubic root of 77334436 is about 426.0471268222.

The spelling of 77334436 in words is "seventy-seven million, three hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 4397 8794 17588 19333609 38667218 77334436