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3243040032 = 253191317659
BaseRepresentation
bin1100000101001100…
…1101110100100000
322101000100111120210
43001103031310200
523120204240112
61253445334120
7143236246131
oct30123156440
98330314523
103243040032
11141467aa81
12766107340
133c8b5accb
1422a9cdc88
1513eaa0b3c
hexc14cdd20

3243040032 has 48 divisors (see below), whose sum is σ = 8517912480. Its totient is φ = 1080387072.

The previous prime is 3243040027. The next prime is 3243040039. The reversal of 3243040032 is 2300403423.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×32430400322 = 21034617298309122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3243039990 and 3243040008.

It is not an unprimeable number, because it can be changed into a prime (3243040039) 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 7 ways as a sum of consecutive naturals, for example, 174819 + ... + 192477.

It is an arithmetic number, because the mean of its divisors is an integer number (177456510).

Almost surely, 23243040032 is an apocalyptic number.

3243040032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3243040032 is an abundant number, since it is smaller than the sum of its proper divisors (5274872448).

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

3243040032 is a wasteful number, since it uses less digits than its factorization.

3243040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3243040032 is about 56947.6955811208. The cubic root of 3243040032 is about 1480.1899001518.

Adding to 3243040032 its reverse (2300403423), we get a palindrome (5543443455).

The spelling of 3243040032 in words is "three billion, two hundred forty-three million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1913 3826 5739 7652 11478 15304 17659 22956 30608 35318 45912 52977 61216 70636 91824 105954 141272 183648 211908 282544 423816 565088 847632 1695264 33781667 67563334 101345001 135126668 202690002 270253336 405380004 540506672 810760008 1081013344 1621520016 3243040032