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2434002000 = 24353405667
BaseRepresentation
bin1001000100010011…
…1110110001010000
320021122000010001020
42101010332301100
514441101031000
61041305035440
7114213450513
oct22104766120
96248003036
102434002000
111039a26801
1257b185b80
132ca362391
14191390d7a
15e3a40ba0
hex9113ec50

2434002000 has 80 divisors (see below), whose sum is σ = 7847241792. Its totient is φ = 649065600.

The previous prime is 2434001981. The next prime is 2434002007. The reversal of 2434002000 is 2004342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196834 + ... + 208833.

Almost surely, 22434002000 is an apocalyptic number.

2434002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434002000 is an abundant number, since it is smaller than the sum of its proper divisors (5413239792).

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

2434002000 is a wasteful number, since it uses less digits than its factorization.

2434002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405693 (or 405677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2434002000 is about 49335.6058035168. The cubic root of 2434002000 is about 1345.1590678036.

Adding to 2434002000 its reverse (2004342), we get a palindrome (2436006342).

The spelling of 2434002000 in words is "two billion, four hundred thirty-four million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 405667 811334 1217001 1622668 2028335 2434002 3245336 4056670 4868004 6085005 6490672 8113340 9736008 10141675 12170010 16226680 19472016 20283350 24340020 30425025 32453360 40566700 48680040 50708375 60850050 81133400 97360080 101416750 121700100 152125125 162266800 202833500 243400200 304250250 405667000 486800400 608500500 811334000 1217001000 2434002000