Search a number
-
+
77342868 = 223213271619
BaseRepresentation
bin1001001110000…
…10100010010100
312101112102110200
410213002202110
5124244432433
611401420500
71626255261
oct447024224
9171472420
1077342868
113a726929
1221a9a730
131303cb15
14a3b4268
156bcb613
hex49c2894

77342868 has 36 divisors (see below), whose sum is σ = 195773760. Its totient is φ = 25745616.

The previous prime is 77342849. The next prime is 77342879. The reversal of 77342868 is 86824377.

It is a happy number.

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

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, 46963 + ... + 48581.

It is an arithmetic number, because the mean of its divisors is an integer number (5438160).

Almost surely, 277342868 is an apocalyptic number.

It is an amenable number.

77342868 is an abundant number, since it is smaller than the sum of its proper divisors (118430892).

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

77342868 is a wasteful number, since it uses less digits than its factorization.

77342868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2951 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 77342868 is about 8794.4794047175. The cubic root of 77342868 is about 426.0626106480.

It can be divided in two parts, 77342 and 868, that added together give a triangular number (78210 = T395).

The spelling of 77342868 in words is "seventy-seven million, three hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1327 1619 2654 3238 3981 4857 5308 6476 7962 9714 11943 14571 15924 19428 23886 29142 47772 58284 2148413 4296826 6445239 8593652 12890478 19335717 25780956 38671434 77342868