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164980304 = 24291073323
BaseRepresentation
bin10011101010101…
…10011001010000
3102111102212102122
421311112121100
5314213332204
624212033412
74042211066
oct1165263120
9374385378
10164980304
1185144165
1247302868
13282455a8
1417ca8036
15e73d0be
hex9d56650

164980304 has 40 divisors (see below), whose sum is σ = 333862560. Its totient is φ = 78877568.

The previous prime is 164980303. The next prime is 164980307. The reversal of 164980304 is 403089461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164980303) 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 7 ways as a sum of consecutive naturals, for example, 47987 + ... + 51309.

It is an arithmetic number, because the mean of its divisors is an integer number (8346564).

Almost surely, 2164980304 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 164980304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166931280).

164980304 is an abundant number, since it is smaller than the sum of its proper divisors (168882256).

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

164980304 is a wasteful number, since it uses less digits than its factorization.

164980304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 164980304 is about 12844.4658900244. The cubic root of 164980304 is about 548.4588303850.

The spelling of 164980304 in words is "one hundred sixty-four million, nine hundred eighty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 107 116 214 232 428 464 856 1712 3103 3323 6206 6646 12412 13292 24824 26584 49648 53168 96367 192734 355561 385468 711122 770936 1422244 1541872 2844488 5688976 10311269 20622538 41245076 82490152 164980304