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11343264 = 253173683
BaseRepresentation
bin101011010001…
…010110100000
3210100022000220
4223101112200
510400441024
61043043040
7165262512
oct53212640
923308026
1011343264
1164483a9
123970480
1324720ba
141713bb2
15ee0e79
hexad15a0

11343264 has 48 divisors (see below), whose sum is σ = 29992032. Its totient is φ = 3753728.

The previous prime is 11343257. The next prime is 11343289. The reversal of 11343264 is 46234311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16267 + ... + 16949.

It is an arithmetic number, because the mean of its divisors is an integer number (624834).

Almost surely, 211343264 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 11343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996016).

11343264 is an abundant number, since it is smaller than the sum of its proper divisors (18648768).

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

11343264 is a wasteful number, since it uses less digits than its factorization.

11343264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 11343264 is about 3367.9762469471. The cubic root of 11343264 is about 224.6877248217.

Adding to 11343264 its reverse (46234311), we get a palindrome (57577575).

The spelling of 11343264 in words is "eleven million, three hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 683 692 1038 1366 1384 2049 2076 2732 2768 4098 4152 5464 5536 8196 8304 10928 16392 16608 21856 32784 65568 118159 236318 354477 472636 708954 945272 1417908 1890544 2835816 3781088 5671632 11343264