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11338404 = 22372111753
BaseRepresentation
bin101011010000…
…001010100100
3210100001100220
4223100022210
510400312104
61043004340
7165242400
oct53201244
923301326
1011338404
116444790
1239696b0
13246cb1c
141712100
15ede7d9
hexad02a4

11338404 has 72 divisors (see below), whose sum is σ = 33592608. Its totient is φ = 2943360.

The previous prime is 11338403. The next prime is 11338417. The reversal of 11338404 is 40483311.

It is not an unprimeable number, because it can be changed into a prime (11338403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5592 + ... + 7344.

It is an arithmetic number, because the mean of its divisors is an integer number (466564).

Almost surely, 211338404 is an apocalyptic number.

11338404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11338404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796304).

11338404 is an abundant number, since it is smaller than the sum of its proper divisors (22254204).

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

11338404 is a wasteful number, since it uses less digits than its factorization.

11338404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11338404 is about 3367.2546681236. The cubic root of 11338404 is about 224.6556312276.

The spelling of 11338404 in words is "eleven million, three hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 1753 2156 3234 3506 5259 6468 7012 10518 12271 19283 21036 24542 36813 38566 49084 57849 73626 77132 85897 115698 134981 147252 171794 231396 257691 269962 343588 404943 515382 539924 809886 944867 1030764 1619772 1889734 2834601 3779468 5669202 11338404