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166330944 = 26321397229
BaseRepresentation
bin10011110101000…
…00001001000000
3102120222111011100
421322200021000
5320040042234
624301014400
74056534603
oct1172401100
9376874140
10166330944
118598699a
1247854400
13285c92a0
141813a33a
15e908399
hex9ea0240

166330944 has 168 divisors, whose sum is σ = 520989560. Its totient is φ = 50429952.

The previous prime is 166330939. The next prime is 166330949. The reversal of 166330944 is 449033661.

166330944 is a `hidden beast` number, since 16 + 633 + 0 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (166330939) and next prime (166330949).

It can be written as a sum of positive squares in 4 ways, for example, as 29160000 + 137170944 = 5400^2 + 11712^2 .

It is a super-2 number, since 2×1663309442 = 55331965863862272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 166330899 and 166330908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166330949) 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, 726222 + ... + 726450.

Almost surely, 2166330944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260494780).

166330944 is an abundant number, since it is smaller than the sum of its proper divisors (354658616).

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

166330944 is a wasteful number, since it uses less digits than its factorization.

166330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 166330944 is about 12896.9354499431. The cubic root of 166330944 is about 549.9514491579.

The spelling of 166330944 in words is "one hundred sixty-six million, three hundred thirty thousand, nine hundred forty-four".