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34355745 = 345412069
BaseRepresentation
bin1000001100001…
…1101000100001
32101122110020000
42003003220201
532243340440
63224210213
7565006344
oct203035041
971573200
1034355745
1118435a86
12b609969
13716b758
1447c445b
153039730
hex20c3a21

34355745 has 40 divisors (see below), whose sum is σ = 63118440. Its totient is φ = 17867520.

The previous prime is 34355707. The next prime is 34355747. The reversal of 34355745 is 54755343.

It can be written as a sum of positive squares in 4 ways, for example, as 762129 + 33593616 = 873^2 + 5796^2 .

It is not a de Polignac number, because 34355745 - 26 = 34355681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34355747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15571 + ... + 17639.

It is an arithmetic number, because the mean of its divisors is an integer number (1577961).

Almost surely, 234355745 is an apocalyptic number.

It is an amenable number.

34355745 is a deficient number, since it is larger than the sum of its proper divisors (28762695).

34355745 is a wasteful number, since it uses less digits than its factorization.

34355745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 34355745 is about 5861.3773978477. The cubic root of 34355745 is about 325.0871403416.

It can be divided in two parts, 3435 and 5745, that added together give a triangular number (9180 = T135).

The spelling of 34355745 in words is "thirty-four million, three hundred fifty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 369 405 615 1107 1845 2069 3321 5535 6207 10345 16605 18621 31035 55863 84829 93105 167589 254487 279315 424145 763461 837945 1272435 2290383 3817305 6871149 11451915 34355745