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2434042040 = 235371644623
BaseRepresentation
bin1001000100010100…
…1000100010111000
320021122002010222012
42101011020202320
514441103321130
61041305545052
7114214005323
oct22105104270
96248063865
102434042040
111039a538a1
1257b1a5188
132ca377681
141913a17ba
15e3a4c995
hex911488b8

2434042040 has 32 divisors (see below), whose sum is σ = 5624614080. Its totient is φ = 947302272.

The previous prime is 2434042019. The next prime is 2434042057. The reversal of 2434042040 is 402404342.

It is a junction number, because it is equal to n+sod(n) for n = 2434041997 and 2434042015.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 820832 + ... + 823791.

It is an arithmetic number, because the mean of its divisors is an integer number (175769190).

Almost surely, 22434042040 is an apocalyptic number.

2434042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434042040 is an abundant number, since it is smaller than the sum of its proper divisors (3190572040).

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

2434042040 is a wasteful number, since it uses less digits than its factorization.

2434042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644671 (or 1644667 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2434042040 is about 49336.0115939665. The cubic root of 2434042040 is about 1345.1664438416.

Adding to 2434042040 its reverse (402404342), we get a palindrome (2836446382).

The spelling of 2434042040 in words is "two billion, four hundred thirty-four million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1644623 3289246 6578492 8223115 13156984 16446230 32892460 60851051 65784920 121702102 243404204 304255255 486808408 608510510 1217021020 2434042040