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20342034 = 23273113137
BaseRepresentation
bin100110110011…
…0010100010010
31102021111000200
41031212110102
520201421114
62004000030
7334622136
oct115462422
942244020
1020342034
11105342a9
126990016
1342a300b
1429b73c6
151bbc409
hex1366512

20342034 has 48 divisors (see below), whose sum is σ = 45402552. Its totient is φ = 6580224.

The previous prime is 20342029. The next prime is 20342039. The reversal of 20342034 is 43024302.

It is an interprime number because it is at equal distance from previous prime (20342029) and next prime (20342039).

It can be written as a sum of positive squares in 4 ways, for example, as 13068225 + 7273809 = 3615^2 + 2697^2 .

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 = 20341998 and 20342016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148414 + ... + 148550.

Almost surely, 220342034 is an apocalyptic number.

20342034 is an abundant number, since it is smaller than the sum of its proper divisors (25060518).

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

20342034 is a wasteful number, since it uses less digits than its factorization.

20342034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 328 counting only the distinct ones).

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

The square root of 20342034 is about 4510.2144073203. The cubic root of 20342034 is about 272.9803954847.

Adding to 20342034 its reverse (43024302), we get a palindrome (63366336).

The spelling of 20342034 in words is "twenty million, three hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 73 113 137 146 219 226 274 339 411 438 657 678 822 1017 1233 1314 2034 2466 8249 10001 15481 16498 20002 24747 30003 30962 46443 49494 60006 74241 90009 92886 139329 148482 180018 278658 1130113 2260226 3390339 6780678 10171017 20342034