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11322400344 = 233471766681
BaseRepresentation
bin10101000101101111…
…00001111001011000
31002020002002112100220
422202313201321120
5141142013302334
65111302200040
7550402546353
oct124267417130
932202075326
1011322400344
114890221a62
12223ba23020
1310b5969298
14795a3529a
15464025449
hex2a2de1e58

11322400344 has 16 divisors (see below), whose sum is σ = 28306000920. Its totient is φ = 3774133440.

The previous prime is 11322400343. The next prime is 11322400361. The reversal of 11322400344 is 44300422311.

11322400344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113224003442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 471766681 = 11322400344 / (1 + 1 + 3 + 2 + 2 + 4 + 0 + 0 + 3 + 4 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322400343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235883317 + ... + 235883364.

Almost surely, 211322400344 is an apocalyptic number.

It is an amenable number.

11322400344 is an abundant number, since it is smaller than the sum of its proper divisors (16983600576).

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

11322400344 is a wasteful number, since it uses less digits than its factorization.

11322400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471766690 (or 471766686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11322400344 its reverse (44300422311), we get a palindrome (55622822655).

The spelling of 11322400344 in words is "eleven billion, three hundred twenty-two million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 471766681 943533362 1415300043 1887066724 2830600086 3774133448 5661200172 11322400344