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201324672 = 2732174761
BaseRepresentation
bin10111111111111…
…11100010000000
3112000211100112100
423333333202000
5403014342142
631551030400
74663142253
oct1377774200
9460740470
10201324672
11a370822a
125750b400
133292c233
141ca4909a
1512a1bb4c
hexbfff880

201324672 has 48 divisors (see below), whose sum is σ = 579336030. Its totient is φ = 67107840.

The previous prime is 201324661. The next prime is 201324691. The reversal of 201324672 is 276423102.

It can be written as a sum of positive squares in only one way, i.e., 199826496 + 1498176 = 14136^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2013246723 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86229 + ... + 88532.

Almost surely, 2201324672 is an apocalyptic number.

It is an amenable number.

201324672 is an abundant number, since it is smaller than the sum of its proper divisors (378011358).

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

201324672 is a wasteful number, since it uses less digits than its factorization.

201324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174781 (or 174766 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 201324672 is about 14188.8925572083. The cubic root of 201324672 is about 586.0918290397.

Adding to 201324672 its reverse (276423102), we get a palindrome (477747774).

The spelling of 201324672 in words is "two hundred one million, three hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 174761 349522 524283 699044 1048566 1398088 1572849 2097132 2796176 3145698 4194264 5592352 6291396 8388528 11184704 12582792 16777056 22369408 25165584 33554112 50331168 67108224 100662336 201324672