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34377077 = 721741269
BaseRepresentation
bin1000001100100…
…0110101110101
32101200112111002
42003020311311
532300031302
63224453045
7565125500
oct203106565
971615432
1034377077
1118450009
12b61a185
137178387
1447cc137
153040c02
hex20c8d75

34377077 has 12 divisors (see below), whose sum is σ = 42343020. Its totient is φ = 27732096.

The previous prime is 34377073. The next prime is 34377089. The reversal of 34377077 is 77077343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10504081 + 23872996 = 3241^2 + 4886^2 .

It is not a de Polignac number, because 34377077 - 22 = 34377073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34377077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34377073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19802 + ... + 21467.

It is an arithmetic number, because the mean of its divisors is an integer number (3528585).

Almost surely, 234377077 is an apocalyptic number.

It is an amenable number.

34377077 is a deficient number, since it is larger than the sum of its proper divisors (7965943).

34377077 is a wasteful number, since it uses less digits than its factorization.

34377077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41300 (or 41293 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 38.

The square root of 34377077 is about 5863.1968242589. The cubic root of 34377077 is about 325.1544102560.

The spelling of 34377077 in words is "thirty-four million, three hundred seventy-seven thousand, seventy-seven".

Divisors: 1 7 17 49 119 833 41269 288883 701573 2022181 4911011 34377077