Search a number
-
+
16484634 = 235107317
BaseRepresentation
bin111110111000…
…100100011010
31011000111200000
4332320210122
513210002014
61345153430
7260055105
oct76704432
934014600
1016484634
11933a171
12562b876
13355232a
14229173c
1516a9509
hexfb891a

16484634 has 48 divisors (see below), whose sum is σ = 37503648. Its totient is φ = 5426352.

The previous prime is 16484627. The next prime is 16484681. The reversal of 16484634 is 43648461.

16484634 is a `hidden beast` number, since 1 + 648 + 4 + 6 + 3 + 4 = 666.

It is a super-2 number, since 2×164846342 = 543486316227912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 51844 + ... + 52160.

It is an arithmetic number, because the mean of its divisors is an integer number (781326).

Almost surely, 216484634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16484634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751824).

16484634 is an abundant number, since it is smaller than the sum of its proper divisors (21019014).

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

16484634 is a wasteful number, since it uses less digits than its factorization.

16484634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 16484634 is about 4060.1273379046. The cubic root of 16484634 is about 254.5031154611.

The spelling of 16484634 in words is "sixteen million, four hundred eighty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 317 321 486 634 642 951 963 1902 1926 2853 2889 5706 5778 8559 8667 17118 17334 25677 26001 33919 51354 52002 67838 77031 101757 154062 203514 305271 610542 915813 1831626 2747439 5494878 8242317 16484634