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77214348 = 22322144843
BaseRepresentation
bin1001001101000…
…11001010001100
312101021220011200
410212203022030
5124231324343
611354545500
71625211501
oct446431214
9171256150
1077214348
113a649312
1221a38290
1312cc6483
14a37d4a8
156ba34d3
hex49a328c

77214348 has 18 divisors (see below), whose sum is σ = 195180804. Its totient is φ = 25738104.

The previous prime is 77214343. The next prime is 77214359. The reversal of 77214348 is 84341277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2144843 = 77214348 / (7 + 7 + 2 + 1 + 4 + 3 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (77214341) 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 5 ways as a sum of consecutive naturals, for example, 1072386 + ... + 1072457.

It is an arithmetic number, because the mean of its divisors is an integer number (10843378).

Almost surely, 277214348 is an apocalyptic number.

It is an amenable number.

77214348 is an abundant number, since it is smaller than the sum of its proper divisors (117966456).

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

77214348 is a wasteful number, since it uses less digits than its factorization.

77214348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144853 (or 2144848 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 77214348 is about 8787.1695101438. The cubic root of 77214348 is about 425.8264849123.

The spelling of 77214348 in words is "seventy-seven million, two hundred fourteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2144843 4289686 6434529 8579372 12869058 19303587 25738116 38607174 77214348