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368144172 = 2232114092273
BaseRepresentation
bin10101111100010…
…110111100101100
3221122201122212100
4111330112330230
51223221103142
6100310335100
712060113424
oct2574267454
9848648770
10368144172
11179898190
12a335a490
135b3699b6
1436c71484
15224beb4c
hex15f16f2c

368144172 has 72 divisors (see below), whose sum is σ = 1018115280. Its totient is φ = 111237120.

The previous prime is 368144167. The next prime is 368144221. The reversal of 368144172 is 271441863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160828 + ... + 163100.

It is an arithmetic number, because the mean of its divisors is an integer number (14140490).

Almost surely, 2368144172 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 368144172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509057640).

368144172 is an abundant number, since it is smaller than the sum of its proper divisors (649971108).

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

368144172 is a wasteful number, since it uses less digits than its factorization.

368144172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2698 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 368144172 is about 19187.0834677916. The cubic root of 368144172 is about 716.7031444446.

The spelling of 368144172 in words is "three hundred sixty-eight million, one hundred forty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 409 818 1227 1636 2273 2454 3681 4499 4546 4908 6819 7362 8998 9092 13497 13638 14724 17996 20457 25003 26994 27276 40491 40914 50006 53988 75009 80982 81828 100012 150018 161964 225027 300036 450054 900108 929657 1859314 2788971 3718628 5577942 8366913 10226227 11155884 16733826 20452454 30678681 33467652 40904908 61357362 92036043 122714724 184072086 368144172