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34350354225 = 32521121261721
BaseRepresentation
bin11111111111011100…
…001100111100110001
310021122221020210110200
4133333130030330301
51030322142313400
623440315145413
72324143123215
oct377734147461
9107587223420
1034350354225
1113627974600
1267a7a45269
133315764cb5
14193c11c945
15d60a07b00
hex7ff70cf31

34350354225 has 54 divisors (see below), whose sum is σ = 67627037478. Its totient is φ = 16654704000.

The previous prime is 34350354209. The next prime is 34350354301. The reversal of 34350354225 is 52245305343.

34350354225 is a `hidden beast` number, since 3 + 43 + 50 + 3 + 542 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8543859489 + 25806494736 = 92433^2 + 160644^2 .

It is not a de Polignac number, because 34350354225 - 24 = 34350354209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34350354225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 603636 + ... + 658085.

Almost surely, 234350354225 is an apocalyptic number.

It is an amenable number.

34350354225 is a deficient number, since it is larger than the sum of its proper divisors (33276683253).

34350354225 is a wasteful number, since it uses less digits than its factorization.

34350354225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261759 (or 1261740 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 34350354225 its reverse (52245305343), we get a palindrome (86595659568).

The spelling of 34350354225 in words is "thirty-four billion, three hundred fifty million, three hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225 1261721 3785163 6308605 11355489 13878931 18925815 31543025 41636793 56777445 69394655 94629075 124910379 152668241 208183965 283887225 346973275 458004723 624551895 763341205 1040919825 1374014169 2290023615 3122759475 3816706025 6870070845 11450118075 34350354225