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166042324 = 22731233821
BaseRepresentation
bin10011110010110…
…01101011010100
3102120102211020201
421321121223110
5320001323244
624250510244
74054223260
oct1171315324
9376384221
10166042324
11857aa068
1247735384
1328527ac6
14180a30a0
15e89cad4
hex9e59ad4

166042324 has 48 divisors (see below), whose sum is σ = 344687616. Its totient is φ = 68486400.

The previous prime is 166042321. The next prime is 166042337. The reversal of 166042324 is 423240661.

166042324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1660423243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 166042292 and 166042301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166042321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201834 + ... + 202654.

It is an arithmetic number, because the mean of its divisors is an integer number (7180992).

Almost surely, 2166042324 is an apocalyptic number.

166042324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166042324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172343808).

166042324 is an abundant number, since it is smaller than the sum of its proper divisors (178645292).

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

166042324 is a wasteful number, since it uses less digits than its factorization.

166042324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 166042324 is about 12885.7411117871. The cubic root of 166042324 is about 549.6331702685.

Adding to 166042324 its reverse (423240661), we get a palindrome (589282985).

The spelling of 166042324 in words is "one hundred sixty-six million, forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 233 434 466 821 868 932 1631 1642 3262 3284 5747 6524 7223 11494 14446 22988 25451 28892 50561 50902 101122 101804 178157 191293 202244 356314 382586 712628 765172 1339051 2678102 5356204 5930083 11860166 23720332 41510581 83021162 166042324