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324226656 = 25321386599
BaseRepresentation
bin10011010100110…
…100111001100000
3211121002102100200
4103110310321200
51131000223111
652101145200
711014611135
oct2324647140
9747072320
10324226656
11157021316
12906bb200
1352230cc0
14310bc58c
151d6e7256
hex13534e60

324226656 has 72 divisors (see below), whose sum is σ = 992955600. Its totient is φ = 99760896.

The previous prime is 324226627. The next prime is 324226657. The reversal of 324226656 is 656622423.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 324226656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324226657) 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 11 ways as a sum of consecutive naturals, for example, 39556 + ... + 47043.

It is an arithmetic number, because the mean of its divisors is an integer number (13791050).

Almost surely, 2324226656 is an apocalyptic number.

324226656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

324226656 is an abundant number, since it is smaller than the sum of its proper divisors (668728944).

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

324226656 is a wasteful number, since it uses less digits than its factorization.

324226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86628 (or 86617 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 324226656 is about 18006.2948992845. The cubic root of 324226656 is about 686.9886664416.

The spelling of 324226656 in words is "three hundred twenty-four million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 86599 173198 259797 346396 519594 692792 779391 1039188 1125787 1385584 1558782 2078376 2251574 2771168 3117564 3377361 4156752 4503148 6235128 6754722 8313504 9006296 10132083 12470256 13509444 18012592 20264166 24940512 27018888 36025184 40528332 54037776 81056664 108075552 162113328 324226656