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163168344 = 2334534751
BaseRepresentation
bin10011011100111…
…00000001011000
3102101000210220000
421232130001120
5313232341334
624105133000
74020623313
oct1156340130
9371023800
10163168344
1184116879
124678a160
1327a5c921
141795597a
15e4d1299
hex9b9c058

163168344 has 80 divisors (see below), whose sum is σ = 465743520. Its totient is φ = 53352000.

The previous prime is 163168339. The next prime is 163168361. The reversal of 163168344 is 443861361.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 163168299 and 163168308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31969 + ... + 36719.

It is an arithmetic number, because the mean of its divisors is an integer number (5821794).

Almost surely, 2163168344 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 163168344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232871760).

163168344 is an abundant number, since it is smaller than the sum of its proper divisors (302575176).

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

163168344 is a wasteful number, since it uses less digits than its factorization.

163168344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4809 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 163168344 is about 12773.7364932897. The cubic root of 163168344 is about 546.4435473239.

The spelling of 163168344 in words is "one hundred sixty-three million, one hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 4751 5724 8586 9502 11448 14253 17172 19004 28506 34344 38008 42759 57012 85518 114024 128277 171036 251803 256554 342072 384831 503606 513108 755409 769662 1007212 1026216 1510818 1539324 2014424 2266227 3021636 3078648 4532454 6043272 6798681 9064908 13597362 18129816 20396043 27194724 40792086 54389448 81584172 163168344