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164402337 = 31123531283
BaseRepresentation
bin10011100110010…
…01010010100001
3102110100111121110
421303021102201
5314041333322
624151413533
74034253051
oct1163112241
9373314543
10164402337
1184889a00
12470842a9
13280a24b8
1417b97561
15e676c0c
hex9cc94a1

164402337 has 24 divisors (see below), whose sum is σ = 241813152. Its totient is φ = 99278080.

The previous prime is 164402327. The next prime is 164402353. The reversal of 164402337 is 733204461.

It is not a de Polignac number, because 164402337 - 27 = 164402209 is a prime.

It is a super-3 number, since 3×1644023373 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (164402327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127498 + ... + 128780.

It is an arithmetic number, because the mean of its divisors is an integer number (10075548).

Almost surely, 2164402337 is an apocalyptic number.

It is an amenable number.

164402337 is a deficient number, since it is larger than the sum of its proper divisors (77410815).

164402337 is a wasteful number, since it uses less digits than its factorization.

164402337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 164402337 is about 12821.9474729855. The cubic root of 164402337 is about 547.8176185040.

Adding to 164402337 its reverse (733204461), we get a palindrome (897606798).

The spelling of 164402337 in words is "one hundred sixty-four million, four hundred two thousand, three hundred thirty-seven".

Divisors: 1 3 11 33 121 353 363 1059 1283 3849 3883 11649 14113 42339 42713 128139 155243 452899 465729 1358697 4981889 14945667 54800779 164402337