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20344122 = 234314051
BaseRepresentation
bin100110110011…
…0110100111010
31102021120220000
41031212310322
520202002442
62004013430
7334631211
oct115466472
942246800
1020344122
1110535927
126991276
1342a3c56
1429b8078
151bbcd4c
hex1366d3a

20344122 has 40 divisors (see below), whose sum is σ = 47068032. Its totient is φ = 6561000.

The previous prime is 20344111. The next prime is 20344123. The reversal of 20344122 is 22144302.

20344122 is a `hidden beast` number, since 203 + 441 + 22 = 666.

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 = 20344095 and 20344104.

It is not an unprimeable number, because it can be changed into a prime (20344123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2997 + ... + 7047.

Almost surely, 220344122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534016).

20344122 is an abundant number, since it is smaller than the sum of its proper divisors (26723910).

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

20344122 is a wasteful number, since it uses less digits than its factorization.

20344122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4087 counting only the distinct ones).

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

The square root of 20344122 is about 4510.4458759639. The cubic root of 20344122 is about 272.9897351532.

Adding to 20344122 its reverse (22144302), we get a palindrome (42488424).

The spelling of 20344122 in words is "twenty million, three hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 4051 5022 8102 12153 24306 36459 72918 109377 125581 218754 251162 328131 376743 656262 753486 1130229 2260458 3390687 6781374 10172061 20344122