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34057773 = 331319629
BaseRepresentation
bin1000000111101…
…0111000101101
32101002022111000
42001322320231
532204322043
63213550513
7562325541
oct201727055
971068430
1034057773
1118252122
12b4a5439
137095c39
144747a21
152ecb2d3
hex207ae2d

34057773 has 16 divisors (see below), whose sum is σ = 50846400. Its totient is φ = 22529520.

The previous prime is 34057759. The next prime is 34057787. The reversal of 34057773 is 37775043.

34057773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34057759) and next prime (34057787).

It is not a de Polignac number, because 34057773 - 25 = 34057741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278 + ... + 8351.

It is an arithmetic number, because the mean of its divisors is an integer number (3177900).

Almost surely, 234057773 is an apocalyptic number.

It is an amenable number.

34057773 is a deficient number, since it is larger than the sum of its proper divisors (16788627).

34057773 is a wasteful number, since it uses less digits than its factorization.

34057773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 34057773 is about 5835.9037860472. The cubic root of 34057773 is about 324.1445685430.

The spelling of 34057773 in words is "thirty-four million, fifty-seven thousand, seven hundred seventy-three".

Divisors: 1 3 9 27 131 393 1179 3537 9629 28887 86661 259983 1261399 3784197 11352591 34057773