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12422034 = 2322953449
BaseRepresentation
bin101111011000…
…101110010010
3212101002211100
4233120232102
511140001114
61122125230
7210404562
oct57305622
925332740
1012422034
117014949
1241b0816
13275c121
141914da2
151155909
hexbd8b92

12422034 has 48 divisors (see below), whose sum is σ = 28431000. Its totient is φ = 3913728.

The previous prime is 12422027. The next prime is 12422051. The reversal of 12422034 is 43022421.

It can be written as a sum of positive squares in 4 ways, for example, as 11881809 + 540225 = 3447^2 + 735^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12421998 and 12422016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27442 + ... + 27890.

Almost surely, 212422034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215500).

12422034 is an abundant number, since it is smaller than the sum of its proper divisors (16008966).

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

12422034 is a wasteful number, since it uses less digits than its factorization.

12422034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12422034 is about 3524.4906014912. The cubic root of 12422034 is about 231.5959201765.

Adding to 12422034 its reverse (43022421), we get a palindrome (55444455).

The spelling of 12422034 in words is "twelve million, four hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 449 477 522 898 954 1347 1537 2694 3074 4041 4611 8082 9222 13021 13833 23797 26042 27666 39063 47594 71391 78126 117189 142782 214173 234378 428346 690113 1380226 2070339 4140678 6211017 12422034