Search a number
-
+
34405745 = 5112293753
BaseRepresentation
bin1000001100111…
…1110101110001
32101201222210212
42003033311301
532301440440
63225233505
7565305203
oct203176561
971658725
1034405745
111846a600
12b632895
13718843a
1447d8773
153049465
hex20cfd71

34405745 has 48 divisors (see below), whose sum is σ = 49124880. Its totient is φ = 23063040.

The previous prime is 34405733. The next prime is 34405757. The reversal of 34405745 is 54750443.

It is an interprime number because it is at equal distance from previous prime (34405733) and next prime (34405757).

It can be written as a sum of positive squares in 8 ways, for example, as 2686321 + 31719424 = 1639^2 + 5632^2 .

It is not a de Polignac number, because 34405745 - 24 = 34405729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649139 + ... + 649191.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 234405745 is an apocalyptic number.

It is an amenable number.

34405745 is a deficient number, since it is larger than the sum of its proper divisors (14719135).

34405745 is a wasteful number, since it uses less digits than its factorization.

34405745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 34405745 is about 5865.6410561847. The cubic root of 34405745 is about 325.2447702428.

The spelling of 34405745 in words is "thirty-four million, four hundred five thousand, seven hundred forty-five".

Divisors: 1 5 11 29 37 53 55 121 145 185 265 319 407 583 605 1073 1537 1595 1961 2035 2915 3509 4477 5365 6413 7685 9805 11803 16907 17545 21571 22385 32065 56869 59015 84535 107855 129833 185977 237281 284345 625559 649165 929885 1186405 3127795 6881149 34405745