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164254350 = 235213131643
BaseRepresentation
bin10011100101001…
…01001010001110
3102110001222121110
421302211022032
5314022114400
624144312450
74033065441
oct1162451216
9373058543
10164254350
11847987a7
1247012726
1328050030
1417b59658
15e647e50
hex9ca528e

164254350 has 96 divisors (see below), whose sum is σ = 442721664. Its totient is φ = 40060800.

The previous prime is 164254313. The next prime is 164254361. The reversal of 164254350 is 53452461.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 255129 + ... + 255771.

It is an arithmetic number, because the mean of its divisors is an integer number (4611684).

Almost surely, 2164254350 is an apocalyptic number.

164254350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164254350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221360832).

164254350 is an abundant number, since it is smaller than the sum of its proper divisors (278467314).

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

164254350 is a wasteful number, since it uses less digits than its factorization.

164254350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 164254350 is about 12816.1753265161. The cubic root of 164254350 is about 547.6531962202.

The spelling of 164254350 in words is "one hundred sixty-four million, two hundred fifty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 131 150 195 262 325 390 393 643 650 655 786 975 1286 1310 1703 1929 1950 1965 3215 3275 3406 3858 3930 5109 6430 6550 8359 8515 9645 9825 10218 16075 16718 17030 19290 19650 25077 25545 32150 41795 42575 48225 50154 51090 83590 84233 85150 96450 125385 127725 168466 208975 250770 252699 255450 417950 421165 505398 626925 842330 1095029 1253850 1263495 2105825 2190058 2526990 3285087 4211650 5475145 6317475 6570174 10950290 12634950 16425435 27375725 32850870 54751450 82127175 164254350