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34048377 = 3311114641
BaseRepresentation
bin1000000111100…
…0100101111001
32101001211121000
42001320211321
532204022002
63213435213
7562256256
oct201704571
971054530
1034048377
1118246060
12b49bb09
13709188c
14474442d
152ec861c
hex2078979

34048377 has 16 divisors (see below), whose sum is σ = 55028160. Its totient is φ = 20635200.

The previous prime is 34048373. The next prime is 34048379. The reversal of 34048377 is 77384043.

It is not a de Polignac number, because 34048377 - 22 = 34048373 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34048373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57024 + ... + 57617.

It is an arithmetic number, because the mean of its divisors is an integer number (3439260).

Almost surely, 234048377 is an apocalyptic number.

It is an amenable number.

34048377 is a deficient number, since it is larger than the sum of its proper divisors (20979783).

34048377 is a wasteful number, since it uses less digits than its factorization.

34048377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114661 (or 114655 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 34048377 is about 5835.0987138180. The cubic root of 34048377 is about 324.1147570176.

It can be divided in two parts, 3404 and 8377, that added together give a triangular number (11781 = T153).

The spelling of 34048377 in words is "thirty-four million, forty-eight thousand, three hundred seventy-seven".

Divisors: 1 3 9 11 27 33 99 297 114641 343923 1031769 1261051 3095307 3783153 11349459 34048377