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20344302 = 23211372777
BaseRepresentation
bin100110110011…
…0110111101110
31102021121010200
41031212313232
520202004202
62004014330
7334631556
oct115466756
942247120
1020344302
1110535a80
1269913a6
1342a4064
1429b8166
151bbce1c
hex1366dee

20344302 has 48 divisors (see below), whose sum is σ = 49403952. Its totient is φ = 5996160.

The previous prime is 20344273. The next prime is 20344309.

20344302 is a `hidden beast` number, since 20 + 344 + 302 = 666.

20344302 is nontrivially palindromic in base 10.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5938 + ... + 8714.

It is an arithmetic number, because the mean of its divisors is an integer number (1029249).

Almost surely, 220344302 is an apocalyptic number.

20344302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701976).

20344302 is an abundant number, since it is smaller than the sum of its proper divisors (29059650).

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

20344302 is a wasteful number, since it uses less digits than its factorization.

20344302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20344302 is about 4510.4658296012. The cubic root of 20344302 is about 272.9905402672.

It can be divided in two parts, 2034 and 4302, that added together give a palindrome (6336).

The spelling of 20344302 in words is "twenty million, three hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 2777 3663 5554 7326 8331 16662 24993 30547 49986 61094 91641 102749 183282 205498 274923 308247 549846 616494 924741 1130239 1849482 2260478 3390717 6781434 10172151 20344302