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166132344 = 23372141269
BaseRepresentation
bin10011110011011…
…11101001111000
3102120121101201210
421321233221320
5320012213334
624252443120
74055046600
oct1171575170
9376541653
10166132344
1185860764
12477794a0
1328559a81
14180c7c00
15e8b95e9
hex9e6fa78

166132344 has 48 divisors (see below), whose sum is σ = 483143400. Its totient is φ = 47466048.

The previous prime is 166132321. The next prime is 166132361. The reversal of 166132344 is 443231661.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 69459 + ... + 71810.

Almost surely, 2166132344 is an apocalyptic number.

166132344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166132344 is an abundant number, since it is smaller than the sum of its proper divisors (317011056).

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

166132344 is a wasteful number, since it uses less digits than its factorization.

166132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141292 (or 141281 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 166132344 is about 12889.2336467301. The cubic root of 166132344 is about 549.7324803680.

The spelling of 166132344 in words is "one hundred sixty-six million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 141269 282538 423807 565076 847614 988883 1130152 1695228 1977766 2966649 3390456 3955532 5933298 6922181 7911064 11866596 13844362 20766543 23733192 27688724 41533086 55377448 83066172 166132344