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34058557 = 1329611481
BaseRepresentation
bin1000000111101…
…1000100111101
32101002100120001
42001323010331
532204333212
63213554301
7562331041
oct201730475
971070501
1034058557
1118252775
12b4a5991
1370963c0
144748021
152ecb657
hex207b13d

34058557 has 16 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 29836800.

The previous prime is 34058533. The next prime is 34058581. The reversal of 34058557 is 75585043.

34058557 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 (34058533) and next prime (34058581).

It can be written as a sum of positive squares in 8 ways, for example, as 8444836 + 25613721 = 2906^2 + 5061^2 .

It is a cyclic number.

It is not a de Polignac number, because 34058557 - 211 = 34056509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34058527) 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, 22257 + ... + 23737.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 234058557 is an apocalyptic number.

It is an amenable number.

34058557 is a deficient number, since it is larger than the sum of its proper divisors (4532723).

34058557 is a wasteful number, since it uses less digits than its factorization.

34058557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 34058557 is about 5835.9709560621. The cubic root of 34058557 is about 324.1470557617.

The spelling of 34058557 in words is "thirty-four million, fifty-eight thousand, five hundred fifty-seven".

Divisors: 1 13 29 61 377 793 1481 1769 19253 22997 42949 90341 558337 1174433 2619889 34058557