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166340016 = 24321676917
BaseRepresentation
bin10011110101000…
…10010110110000
3102120222221121100
421322202112300
5320040340031
624301124400
74056603213
oct1172422660
9376887540
10166340016
1185992797
1247859700
132860045b
141813d77a
15e90ade6
hex9ea25b0

166340016 has 60 divisors (see below), whose sum is σ = 468376272. Its totient is φ = 55106688.

The previous prime is 166340011. The next prime is 166340077. The reversal of 166340016 is 610043661.

166340016 is a `hidden beast` number, since 16 + 634 + 0 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (166340011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20590 + ... + 27506.

Almost surely, 2166340016 is an apocalyptic number.

166340016 is a gapful number since it is divisible by the number (16) 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 166340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234188136).

166340016 is an abundant number, since it is smaller than the sum of its proper divisors (302036256).

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

166340016 is a wasteful number, since it uses less digits than its factorization.

166340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166340016 is about 12897.2871566078. The cubic root of 166340016 is about 549.9614474354.

Adding to 166340016 its reverse (610043661), we get a palindrome (776383677).

The spelling of 166340016 in words is "one hundred sixty-six million, three hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 3006 4008 6012 6917 8016 12024 13834 20751 24048 27668 41502 55336 62253 83004 110672 124506 166008 249012 332016 498024 996048 1155139 2310278 3465417 4620556 6930834 9241112 10396251 13861668 18482224 20792502 27723336 41585004 55446672 83170008 166340016