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201661344 = 25321741189
BaseRepresentation
bin11000000010100…
…01101110100000
3112001110110100200
430001101232200
5403111130334
632002145200
74666043643
oct1401215640
9461413320
10201661344
11a3918175
1257652200
1332a19551
141cad5a5a
1512a86799
hexc051ba0

201661344 has 72 divisors (see below), whose sum is σ = 607222980. Its totient is φ = 63264768.

The previous prime is 201661337. The next prime is 201661367. The reversal of 201661344 is 443166102.

201661344 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 613 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190771344 + 10890000 = 13812^2 + 3300^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15699 + ... + 25490.

Almost surely, 2201661344 is an apocalyptic number.

201661344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201661344 is an abundant number, since it is smaller than the sum of its proper divisors (405561636).

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

201661344 is a wasteful number, since it uses less digits than its factorization.

201661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41222 (or 41211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 201661344 is about 14200.7515294086. The cubic root of 201661344 is about 586.4183510639.

The spelling of 201661344 in words is "two hundred one million, six hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 41189 82378 123567 164756 247134 329512 370701 494268 659024 700213 741402 988536 1318048 1400426 1482804 1977072 2100639 2800852 2965608 3954144 4201278 5601704 5931216 6301917 8402556 11203408 11862432 12603834 16805112 22406816 25207668 33610224 50415336 67220448 100830672 201661344