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11345364 = 2232893541
BaseRepresentation
bin101011010001…
…110111010100
3210100101220200
4223101313110
510401022424
61043100500
7165301602
oct53216724
923311820
1011345364
116449a38
123971730
132473044
141714872
15ee18c9
hexad1dd4

11345364 has 36 divisors (see below), whose sum is σ = 29008980. Its totient is φ = 3738240.

The previous prime is 11345363. The next prime is 11345387. The reversal of 11345364 is 46354311.

It can be written as a sum of positive squares in 2 ways, for example, as 3392964 + 7952400 = 1842^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×113453643 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1434 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (805805).

Almost surely, 211345364 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 11345364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504490).

11345364 is an abundant number, since it is smaller than the sum of its proper divisors (17663616).

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

11345364 is a wasteful number, since it uses less digits than its factorization.

11345364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3635 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 11345364 is about 3368.2879924377. The cubic root of 11345364 is about 224.7015895878.

Adding to 11345364 its reverse (46354311), we get a palindrome (57699675).

The spelling of 11345364 in words is "eleven million, three hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 3541 7082 10623 14164 21246 31869 42492 63738 127476 315149 630298 945447 1260596 1890894 2836341 3781788 5672682 11345364