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166373424 = 243272171973
BaseRepresentation
bin10011110101010…
…10100000110000
3102121001122102200
421322222200300
5320042422144
624301543200
74060102500
oct1172524060
9377048380
10166373424
1185a058a8
1247874b00
1328612719
141814ba00
15e915c69
hex9eaa830

166373424 has 360 divisors, whose sum is σ = 611947440. Its totient is φ = 41803776.

The previous prime is 166373419. The next prime is 166373437. The reversal of 166373424 is 424373661.

It is a happy number.

166373424 is a `hidden beast` number, since 16 + 637 + 3 + 4 + 2 + 4 = 666.

166373424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2279052 + ... + 2279124.

It is an arithmetic number, because the mean of its divisors is an integer number (1699854).

Almost surely, 2166373424 is an apocalyptic number.

166373424 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 166373424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305973720).

166373424 is an abundant number, since it is smaller than the sum of its proper divisors (445574016).

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

166373424 is a wasteful number, since it uses less digits than its factorization.

166373424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 166373424 is about 12898.5822476736. The cubic root of 166373424 is about 549.9982633554.

The spelling of 166373424 in words is "one hundred sixty-six million, three hundred seventy-three thousand, four hundred twenty-four".