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163434160 = 245101113179
BaseRepresentation
bin10011011110111…
…00111010110000
3102101112022112001
421233130322300
5313314343120
624114543344
74023111301
oct1157347260
9371468461
10163434160
118428855a
1246897b54
1327b23906
14179c47a8
15e534e0a
hex9bdceb0

163434160 has 80 divisors (see below), whose sum is σ = 389305440. Its totient is φ = 63795200.

The previous prime is 163434151. The next prime is 163434163. The reversal of 163434160 is 61434361.

163434160 is a nontrivial binomial coefficient, being equal to C(18080, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (163434163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912951 + ... + 913129.

It is an arithmetic number, because the mean of its divisors is an integer number (4866318).

Almost surely, 2163434160 is an apocalyptic number.

163434160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163434160 is the 18079-th triangular number and also the 9040-th hexagonal number.

163434160 is the 6027-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194652720).

163434160 is an abundant number, since it is smaller than the sum of its proper divisors (225871280).

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

163434160 is a wasteful number, since it uses less digits than its factorization.

163434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 163434160 is about 12784.1370455733. The cubic root of 163434160 is about 546.7401216650.

It can be divided in two parts, 16343 and 4160, that added together give a triangular number (20503 = T202).

The spelling of 163434160 in words is "one hundred sixty-three million, four hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 113 179 202 226 358 404 452 505 565 716 808 895 904 1010 1130 1432 1616 1790 1808 2020 2260 2864 3580 4040 4520 7160 8080 9040 11413 14320 18079 20227 22826 36158 40454 45652 57065 72316 80908 90395 91304 101135 114130 144632 161816 180790 182608 202270 228260 289264 323632 361580 404540 456520 723160 809080 913040 1446320 1618160 2042927 4085854 8171708 10214635 16343416 20429270 32686832 40858540 81717080 163434160