Search a number
-
+
11434008 = 2335389101
BaseRepresentation
bin101011100111…
…100000011000
3210111220111210
4223213200120
510411342013
61045023120
7166121205
oct53474030
923456453
1011434008
1164aa5a3
1239b4aa0
1324a44b1
141738cac
15100ccc3
hexae7818

11434008 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 3660800.

The previous prime is 11433973. The next prime is 11434021. The reversal of 11434008 is 80043411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113158 + ... + 113258.

Almost surely, 211434008 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 11434008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

11434008 is an abundant number, since it is smaller than the sum of its proper divisors (18309192).

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

11434008 is a wasteful number, since it uses less digits than its factorization.

11434008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11434008 is about 3381.4210030696. The cubic root of 11434008 is about 225.2852875011.

Adding to 11434008 its reverse (80043411), we get a palindrome (91477419).

It can be divided in two parts, 1143 and 4008, that added together give a triangular number (5151 = T101).

The spelling of 11434008 in words is "eleven million, four hundred thirty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 53 89 101 106 159 178 202 212 267 303 318 356 404 424 534 606 636 712 808 1068 1212 1272 2136 2424 4717 5353 8989 9434 10706 14151 16059 17978 18868 21412 26967 28302 32118 35956 37736 42824 53934 56604 64236 71912 107868 113208 128472 215736 476417 952834 1429251 1905668 2858502 3811336 5717004 11434008