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2034024520 = 235112420253
BaseRepresentation
bin111100100111100…
…1100000001001000
312020202101011002111
41321033030001020
513131202241040
6533500112104
7101255631433
oct17117140110
95222334074
102034024520
11954176800
12489235634
1326552b108
141541d481a
15bd883dea
hex793cc048

2034024520 has 48 divisors (see below), whose sum is σ = 5030440380. Its totient is φ = 739643520.

The previous prime is 2034024493. The next prime is 2034024523. The reversal of 2034024520 is 254204302.

It can be written as a sum of positive squares in 2 ways, for example, as 2028061156 + 5963364 = 45034^2 + 2442^2 .

It is a super-2 number, since 2×20340245202 = 8274511495922460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2034024491 and 2034024500.

It is not an unprimeable number, because it can be changed into a prime (2034024523) 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 11 ways as a sum of consecutive naturals, for example, 205287 + ... + 214966.

Almost surely, 22034024520 is an apocalyptic number.

2034024520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034024520 is an abundant number, since it is smaller than the sum of its proper divisors (2996415860).

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

2034024520 is a wasteful number, since it uses less digits than its factorization.

2034024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420286 (or 420271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2034024520 is about 45100.1609753225. The cubic root of 2034024520 is about 1267.0256141846.

Adding to 2034024520 its reverse (254204302), we get a palindrome (2288228822).

The spelling of 2034024520 in words is "two billion, thirty-four million, twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 420253 840506 1681012 2101265 3362024 4202530 4622783 8405060 9245566 16810120 18491132 23113915 36982264 46227830 50850613 92455660 101701226 184911320 203402452 254253065 406804904 508506130 1017012260 2034024520