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166318304 = 25411091163
BaseRepresentation
bin10011110100111…
…01000011100000
3102120221211211012
421322131003200
5320034141204
624300440052
74056453005
oct1172350340
9376854735
10166318304
1185978449
1247849028
13285c35c9
14181358ac
15e90476e
hex9e9d0e0

166318304 has 48 divisors (see below), whose sum is σ = 338793840. Its totient is φ = 80317440.

The previous prime is 166318291. The next prime is 166318333. The reversal of 166318304 is 403813661.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 142427 + ... + 143589.

It is an arithmetic number, because the mean of its divisors is an integer number (7058205).

Almost surely, 2166318304 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 166318304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169396920).

166318304 is an abundant number, since it is smaller than the sum of its proper divisors (172475536).

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

166318304 is a wasteful number, since it uses less digits than its factorization.

166318304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 166318304 is about 12896.4454017376. The cubic root of 166318304 is about 549.9375179710.

The spelling of 166318304 in words is "one hundred sixty-six million, three hundred eighteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 82 109 164 218 328 436 656 872 1163 1312 1744 2326 3488 4469 4652 8938 9304 17876 18608 35752 37216 47683 71504 95366 126767 143008 190732 253534 381464 507068 762928 1014136 1525856 2028272 4056544 5197447 10394894 20789788 41579576 83159152 166318304