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323460225 = 32521121092
BaseRepresentation
bin10011010001111…
…001110010000001
3211112122111000100
4103101321302001
51130301211400
652032513013
711005236504
oct2321716201
9745574010
10323460225
11156648500
12903ab769
13520231aa
1430d5d13b
151d5e5100
hex13479c81

323460225 has 81 divisors (see below), whose sum is σ = 642705609. Its totient is φ = 155390400.

The previous prime is 323460223. The next prime is 323460259. The reversal of 323460225 is 522064323.

The square root of 323460225 is 17985.

It is a perfect power (a square), and thus also a powerful number.

323460225 is a `hidden beast` number, since 3 + 2 + 34 + 602 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1185921 + 322274304 = 1089^2 + 17952^2 .

It is not a de Polignac number, because 323460225 - 21 = 323460223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323460223) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2967471 + ... + 2967579.

Almost surely, 2323460225 is an apocalyptic number.

323460225 is the 17985-th square number.

323460225 is the 8993-rd centered octagonal number.

It is an amenable number.

323460225 is a deficient number, since it is larger than the sum of its proper divisors (319245384).

323460225 is a wasteful number, since it uses less digits than its factorization.

323460225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

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

The cubic root of 323460225 is about 686.4469211021.

The spelling of 323460225 in words is "three hundred twenty-three million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 109 121 165 225 275 327 363 495 545 605 825 981 1089 1199 1635 1815 2475 2725 3025 3597 4905 5445 5995 8175 9075 10791 11881 13189 17985 24525 27225 29975 35643 39567 53955 59405 65945 89925 106929 118701 130691 178215 197835 269775 297025 329725 392073 534645 593505 653455 891075 989175 1176219 1437601 1960365 2673225 2967525 3267275 4312803 5881095 7188005 9801825 12938409 21564015 29405475 35940025 64692045 107820075 323460225