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20340343296 = 2933713192337
BaseRepresentation
bin10010111100011000…
…010000001000000000
31221111112221111111000
4102330120100020000
5313124111441141
613202204052000
71320024031260
oct227430201000
957445844430
1020340343296
118698658a79
123b37b34000
131bc205c5c0
14dad59b7a0
157e0a985b6
hex4bc610200

20340343296 has 1280 divisors, whose sum is σ = 83594649600. Its totient is φ = 4729798656.

The previous prime is 20340343229. The next prime is 20340343297. The reversal of 20340343296 is 69234304302.

20340343296 is a `hidden beast` number, since 20 + 3 + 4 + 0 + 343 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20340343296.

It is not an unprimeable number, because it can be changed into a prime (20340343297) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549738990 + ... + 549739026.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 220340343296 is an apocalyptic number.

20340343296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41797324800).

20340343296 is an abundant number, since it is smaller than the sum of its proper divisors (63254306304).

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

20340343296 is a wasteful number, since it uses less digits than its factorization.

20340343296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 20340343296 its reverse (69234304302), we get a palindrome (89574647598).

The spelling of 20340343296 in words is "twenty billion, three hundred forty million, three hundred forty-three thousand, two hundred ninety-six".