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34362225 = 345271239
BaseRepresentation
bin1000001100010…
…1001101110001
32101122210010000
42003011031301
532244042400
63224300213
7565034262
oct203051561
971583100
1034362225
111843a937
12b611669
1371716a1
1447c6969
15303b600
hex20c5371

34362225 has 60 divisors (see below), whose sum is σ = 64817280. Its totient is φ = 17992800.

The previous prime is 34362221. The next prime is 34362227. The reversal of 34362225 is 52226343.

34362225 is a `hidden beast` number, since 3 + 436 + 2 + 225 = 666.

It is not a de Polignac number, because 34362225 - 22 = 34362221 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34362221) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 143656 + ... + 143894.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 234362225 is an apocalyptic number.

It is an amenable number.

34362225 is a deficient number, since it is larger than the sum of its proper divisors (30455055).

34362225 is a wasteful number, since it uses less digits than its factorization.

34362225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 34362225 is about 5861.9301428796. The cubic root of 34362225 is about 325.1075777991.

Adding to 34362225 its reverse (52226343), we get a palindrome (86588568).

The spelling of 34362225 in words is "thirty-four million, three hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 81 135 213 225 239 355 405 639 675 717 1065 1195 1775 1917 2025 2151 3195 3585 5325 5751 5975 6453 9585 10755 15975 16969 17925 19359 28755 32265 47925 50907 53775 84845 96795 143775 152721 161325 254535 424225 458163 483975 763605 1272675 1374489 2290815 3818025 6872445 11454075 34362225