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20434340 = 2251760101
BaseRepresentation
bin100110111110…
…0110110100100
31102110011122102
41031330312210
520212344330
62005551232
7335455223
oct115746644
942404572
1020434340
1110597693
126a15518
134306034
1429dccba
151bd9945
hex137cda4

20434340 has 24 divisors (see below), whose sum is σ = 45437112. Its totient is φ = 7692800.

The previous prime is 20434321. The next prime is 20434369. The reversal of 20434340 is 4343402.

It is a happy number.

20434340 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 4096576 + 16337764 = 2024^2 + 4042^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29711 + ... + 30390.

It is an arithmetic number, because the mean of its divisors is an integer number (1893213).

Almost surely, 220434340 is an apocalyptic number.

20434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434340 is an abundant number, since it is smaller than the sum of its proper divisors (25002772).

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

20434340 is a wasteful number, since it uses less digits than its factorization.

20434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60127 (or 60125 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 20434340 is about 4520.4358196970. The cubic root of 20434340 is about 273.3926733482.

Adding to 20434340 its reverse (4343402), we get a palindrome (24777742).

The spelling of 20434340 in words is "twenty million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 60101 120202 240404 300505 601010 1021717 1202020 2043434 4086868 5108585 10217170 20434340