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34223415440 = 245427792693
BaseRepresentation
bin11111110111110111…
…111110000010010000
310021100002101122012012
4133313313332002100
51030042143243230
623415542322052
72321042142254
oct376767760220
9107302348165
1034223415440
1113572253615
126771429328
1332c537b9a6
141929318264
15d547d1395
hex7f7dfe090

34223415440 has 20 divisors (see below), whose sum is σ = 79569441084. Its totient is φ = 13689366144.

The previous prime is 34223415431. The next prime is 34223415487. The reversal of 34223415440 is 4451432243.

It can be written as a sum of positive squares in 2 ways, for example, as 21451703296 + 12771712144 = 146464^2 + 113012^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 34223415397 and 34223415406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213896267 + ... + 213896426.

Almost surely, 234223415440 is an apocalyptic number.

It is an amenable number.

34223415440 is an abundant number, since it is smaller than the sum of its proper divisors (45346025644).

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

34223415440 is a wasteful number, since it uses less digits than its factorization.

34223415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427792706 (or 427792700 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 34223415440 its reverse (4451432243), we get a palindrome (38674847683).

The spelling of 34223415440 in words is "thirty-four billion, two hundred twenty-three million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 427792693 855585386 1711170772 2138963465 3422341544 4277926930 6844683088 8555853860 17111707720 34223415440