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3432366632343 = 3113233773101137
BaseRepresentation
bin110001111100101000111…
…111100110110110010111
3110011010112112100221001210
4301330220333212312113
5422213441324213333
611144450224552503
7502660146664515
oct61745077466627
913133475327053
103432366632343
111103727534000
12475270782733
131bb8949381ac
14bc1ad9594b5
155e43c8eaa63
hex31f28fe6d97

3432366632343 has 256 divisors, whose sum is σ = 5562972131328. Its totient is φ = 1876773888000.

The previous prime is 3432366632329. The next prime is 3432366632363.

3432366632343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3432366632343 - 234 = 3415186763159 is a prime.

It is a super-2 number, since 2×34323666323432 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3432366632292 and 3432366632301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432366632363) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25053770971 + ... + 25053771107.

It is an arithmetic number, because the mean of its divisors is an integer number (21730359888).

Almost surely, 23432366632343 is an apocalyptic number.

3432366632343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3432366632343 is a deficient number, since it is larger than the sum of its proper divisors (2130605498985).

3432366632343 is a wasteful number, since it uses less digits than its factorization.

3432366632343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 48.

It can be divided in two parts, 34323 and 66632343, that added together give a palindrome (66666666).

The spelling of 3432366632343 in words is "three trillion, four hundred thirty-two billion, three hundred sixty-six million, six hundred thirty-two thousand, three hundred forty-three".