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164342352 = 243101109311
BaseRepresentation
bin10011100101110…
…10101001010000
3102110020110022210
421302322221100
5314032423402
624150232120
74033613136
oct1162725120
9373213283
10164342352
1184848929
1247055640
13280810c5
1417b7d756
15e66406c
hex9cbaa50

164342352 has 80 divisors (see below), whose sum is σ = 434079360. Its totient is φ = 53568000.

The previous prime is 164342329. The next prime is 164342363. The reversal of 164342352 is 253243461.

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 15 ways as a sum of consecutive naturals, for example, 528277 + ... + 528587.

It is an arithmetic number, because the mean of its divisors is an integer number (5425992).

Almost surely, 2164342352 is an apocalyptic number.

164342352 is a gapful number since it is divisible by the number (12) 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 164342352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

164342352 is an abundant number, since it is smaller than the sum of its proper divisors (269737008).

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

164342352 is a wasteful number, since it uses less digits than its factorization.

164342352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 164342352 is about 12819.6081063346. The cubic root of 164342352 is about 547.7509835281.

The spelling of 164342352 in words is "one hundred sixty-four million, three hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 109 202 218 303 311 327 404 436 606 622 654 808 872 933 1212 1244 1308 1616 1744 1866 2424 2488 2616 3732 4848 4976 5232 7464 11009 14928 22018 31411 33027 33899 44036 62822 66054 67798 88072 94233 101697 125644 132108 135596 176144 188466 203394 251288 264216 271192 376932 406788 502576 528432 542384 753864 813576 1507728 1627152 3423799 6847598 10271397 13695196 20542794 27390392 41085588 54780784 82171176 164342352