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77344 = 252417
BaseRepresentation
bin10010111000100000
310221002121
4102320200
54433334
61354024
7441331
oct227040
9127077
1077344
1153123
1238914
1329287
1420288
1517db4
hex12e20

77344 has 12 divisors (see below), whose sum is σ = 152334. Its totient is φ = 38656.

The previous prime is 77339. The next prime is 77347. The reversal of 77344 is 44377.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 32400 = 212^2 + 180^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1177 + ... + 1240.

277344 is an apocalyptic number.

It is an amenable number.

77344 is a deficient number, since it is larger than the sum of its proper divisors (74990).

77344 is a wasteful number, since it uses less digits than its factorization.

77344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2419 counting only the distinct ones).

The product of its digits is 2352, while the sum is 25.

The square root of 77344 is about 278.1078927323. The cubic root of 77344 is about 42.6064689273.

The spelling of 77344 in words is "seventy-seven thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 2417 4834 9668 19336 38672 77344