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2434042140 = 223579513511
BaseRepresentation
bin1001000100010100…
…1000100100011100
320021122002011002220
42101011020210130
514441103322030
61041305545340
7114214005525
oct22105104434
96248064086
102434042140
111039a53982
1257b1a5250
132ca37772a
141913a184c
15e3a4ca10
hex9114891c

2434042140 has 48 divisors (see below), whose sum is σ = 6901601280. Its totient is φ = 640860480.

The previous prime is 2434042087. The next prime is 2434042223. The reversal of 2434042140 is 412404342.

It is a happy number.

It is a super-2 number, since 2×24340421402 = 11849122278591559200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2434042140.

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 15 ways as a sum of consecutive naturals, for example, 252016 + ... + 261495.

It is an arithmetic number, because the mean of its divisors is an integer number (143783360).

Almost surely, 22434042140 is an apocalyptic number.

2434042140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434042140 is an abundant number, since it is smaller than the sum of its proper divisors (4467559140).

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

2434042140 is a wasteful number, since it uses less digits than its factorization.

2434042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513602 (or 513600 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2434042140 is about 49336.0126074250. The cubic root of 2434042140 is about 1345.1664622632.

Adding to 2434042140 its reverse (412404342), we get a palindrome (2846446482).

The spelling of 2434042140 in words is "two billion, four hundred thirty-four million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 513511 1027022 1540533 2054044 2567555 3081066 5135110 6162132 7702665 10270220 15405330 30810660 40567369 81134738 121702107 162269476 202836845 243404214 405673690 486808428 608510535 811347380 1217021070 2434042140