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34575957 = 331398507
BaseRepresentation
bin1000001111100…
…1011001010101
32102001122022000
42003321121111
532322412312
63233025513
7566614353
oct203713125
972048260
1034575957
1118576479
12b6b5299
137217a60
1448407d3
15307eadc
hex20f9655

34575957 has 16 divisors (see below), whose sum is σ = 55164480. Its totient is φ = 21277296.

The previous prime is 34575949. The next prime is 34575979. The reversal of 34575957 is 75957543.

34575957 is a `hidden beast` number, since 3 + 4 + 57 + 595 + 7 = 666.

34575957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34575957 - 23 = 34575949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34575907) 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, 48903 + ... + 49604.

It is an arithmetic number, because the mean of its divisors is an integer number (3447780).

Almost surely, 234575957 is an apocalyptic number.

It is an amenable number.

34575957 is a deficient number, since it is larger than the sum of its proper divisors (20588523).

34575957 is a wasteful number, since it uses less digits than its factorization.

34575957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98529 (or 98523 counting only the distinct ones).

The product of its digits is 661500, while the sum is 45.

The square root of 34575957 is about 5880.1323964686. The cubic root of 34575957 is about 325.7802381781.

The spelling of 34575957 in words is "thirty-four million, five hundred seventy-five thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 27 39 117 351 98507 295521 886563 1280591 2659689 3841773 11525319 34575957