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34064145 = 345241349
BaseRepresentation
bin1000000111110…
…0011100010001
32101002122020000
42001330130101
532210023040
63214040213
7562353243
oct201743421
971078200
1034064145
1118256995
12b4a9069
137098acb
14474a093
152ecd130
hex207c711

34064145 has 40 divisors (see below), whose sum is σ = 61492200. Its totient is φ = 18040320.

The previous prime is 34064137. The next prime is 34064171. The reversal of 34064145 is 54146043.

It can be written as a sum of positive squares in 4 ways, for example, as 10093329 + 23970816 = 3177^2 + 4896^2 .

It is not a de Polignac number, because 34064145 - 23 = 34064137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97431 + ... + 97779.

It is an arithmetic number, because the mean of its divisors is an integer number (1537305).

Almost surely, 234064145 is an apocalyptic number.

It is an amenable number.

34064145 is a deficient number, since it is larger than the sum of its proper divisors (27428055).

34064145 is a wasteful number, since it uses less digits than its factorization.

34064145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34064145 is about 5836.4496913792. The cubic root of 34064145 is about 324.1647824346.

The spelling of 34064145 in words is "thirty-four million, sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 241 349 405 723 1047 1205 1745 2169 3141 3615 5235 6507 9423 10845 15705 19521 28269 32535 47115 84109 97605 141345 252327 420545 756981 1261635 2270943 3784905 6812829 11354715 34064145