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2043040032 = 253211644899
BaseRepresentation
bin111100111000110…
…0101000100100000
312021101100012001100
41321301211010200
513141004240112
6534421234400
7101425360635
oct17161450440
95241305040
102043040032
11959274240
12490262a00
13267366837
141554a018c
15be5652dc
hex79c65120

2043040032 has 72 divisors (see below), whose sum is σ = 6338077200. Its totient is φ = 619102080.

The previous prime is 2043040031. The next prime is 2043040033. The reversal of 2043040032 is 2300403402.

2043040032 is a `hidden beast` number, since 204 + 30 + 400 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2043040031) and next prime (2043040033).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20430400322 = 8348025144709122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2043039987 and 2043040014.

It is not an unprimeable number, because it can be changed into a prime (2043040031) 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, 319282 + ... + 325617.

It is an arithmetic number, because the mean of its divisors is an integer number (88028850).

Almost surely, 22043040032 is an apocalyptic number.

2043040032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2043040032 is an abundant number, since it is smaller than the sum of its proper divisors (4295037168).

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

2043040032 is a wasteful number, since it uses less digits than its factorization.

2043040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644926 (or 644915 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2043040032 is about 45200.0003539823. Note that the first 3 decimals coincide. The cubic root of 2043040032 is about 1268.8948229387.

Adding to 2043040032 its reverse (2300403402), we get a palindrome (4343443434).

The spelling of 2043040032 in words is "two billion, forty-three million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 644899 1289798 1934697 2579596 3869394 5159192 5804091 7093889 7738788 10318384 11608182 14187778 15477576 20636768 21281667 23216364 28375556 30955152 42563334 46432728 56751112 61910304 63845001 85126668 92865456 113502224 127690002 170253336 185730912 227004448 255380004 340506672 510760008 681013344 1021520016 2043040032