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345041125 = 53111397199
BaseRepresentation
bin10100100100001…
…110100011100101
3220001020220102221
4110210032203211
51201312304000
654123232341
711356541542
oct2444164345
9801226387
10345041125
11167848560
12976786b1
135663b060
1433b79bc9
152045961a
hex1490e8e5

345041125 has 64 divisors (see below), whose sum is σ = 513676800. Its totient is φ = 228096000.

The previous prime is 345041113. The next prime is 345041131. The reversal of 345041125 is 521140543.

It is a happy number.

It is not a de Polignac number, because 345041125 - 217 = 344910053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 345041125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1733776 + ... + 1733974.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2345041125 is an apocalyptic number.

It is an amenable number.

345041125 is a deficient number, since it is larger than the sum of its proper divisors (168635675).

345041125 is a wasteful number, since it uses less digits than its factorization.

345041125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 345041125 is about 18575.2826358040. The cubic root of 345041125 is about 701.3857752079.

Adding to 345041125 its reverse (521140543), we get a palindrome (866181668).

The spelling of 345041125 in words is "three hundred forty-five million, forty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 97 125 143 199 275 325 485 715 995 1067 1261 1375 1625 2189 2425 2587 3575 4975 5335 6305 10945 12125 12935 13871 17875 19303 24875 26675 28457 31525 54725 64675 69355 96515 133375 142285 157625 212333 250939 273625 323375 346775 482575 711425 1061665 1254695 1733875 2412875 2760329 3557125 5308325 6273475 13801645 26541625 31367375 69008225 345041125