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34281225 = 38521119
BaseRepresentation
bin1000001011000…
…1011100001001
32101111200000000
42002301130021
532233444400
63222433213
7564246156
oct202613411
971450000
1034281225
1118394aa0
12b592809
137143864
1447a522d
153022600
hex20b1709

34281225 has 108 divisors (see below), whose sum is σ = 73217040. Its totient is φ = 15746400.

The previous prime is 34281211. The next prime is 34281227. The reversal of 34281225 is 52218243.

It is not a de Polignac number, because 34281225 - 24 = 34281209 is a prime.

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

Its product of digits (3840) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (34281227) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1804266 + ... + 1804284.

Almost surely, 234281225 is an apocalyptic number.

It is an amenable number.

34281225 is an abundant number, since it is smaller than the sum of its proper divisors (38935815).

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

34281225 is an equidigital number, since it uses as much as digits as its factorization.

34281225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 34281225 is about 5855.0170793944. The cubic root of 34281225 is about 324.8519246551.

Adding to 34281225 its reverse (52218243), we get a palindrome (86499468).

The spelling of 34281225 in words is "thirty-four million, two hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 81 95 99 135 165 171 209 225 243 275 285 297 405 475 495 513 627 675 729 825 855 891 1045 1215 1425 1485 1539 1881 2025 2187 2475 2565 2673 3135 3645 4275 4455 4617 5225 5643 6075 6561 7425 7695 8019 9405 10935 12825 13365 13851 15675 16929 18225 22275 23085 24057 28215 32805 38475 40095 41553 47025 50787 54675 66825 69255 72171 84645 115425 120285 124659 141075 152361 164025 200475 207765 253935 346275 360855 423225 457083 601425 623295 761805 1038825 1269675 1371249 1804275 2285415 3116475 3809025 6856245 11427075 34281225