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34413225 = 35271159101
BaseRepresentation
bin1000001101000…
…1101010101001
32101202101001220
42003101222221
532302210400
63225332253
7565336050
oct203215251
971671056
1034413225
1118475190
12b637089
13718b972
1447db397
15304b7a0
hex20d1aa9

34413225 has 96 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 13920000.

The previous prime is 34413217. The next prime is 34413241. The reversal of 34413225 is 52231443.

It is not a de Polignac number, because 34413225 - 23 = 34413217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34413195 and 34413204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 340675 + ... + 340775.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 234413225 is an apocalyptic number.

34413225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34413225 is an abundant number, since it is smaller than the sum of its proper divisors (38439255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34413225 is a wasteful number, since it uses less digits than its factorization.

34413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 34413225 is about 5866.2786330007. The cubic root of 34413225 is about 325.2683385412.

Adding to 34413225 its reverse (52231443), we get a palindrome (86644668).

It can be divided in two parts, 3441 and 3225, that added together give a palindrome (6666).

The spelling of 34413225 in words is "thirty-four million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 59 75 77 101 105 165 175 177 231 275 295 303 385 413 505 525 649 707 825 885 1111 1155 1239 1475 1515 1925 1947 2065 2121 2525 3245 3333 3535 4425 4543 5555 5775 5959 6195 7575 7777 9735 10325 10605 13629 16225 16665 17675 17877 22715 23331 27775 29795 30975 38885 41713 48675 53025 65549 68145 83325 89385 113575 116655 125139 148975 194425 196647 208565 327745 340725 446925 458843 583275 625695 983235 1042825 1376529 1638725 2294215 3128475 4916175 6882645 11471075 34413225