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20342430720 = 210345181271
BaseRepresentation
bin10010111100100000…
…001101110000000000
31221111200212112220000
4102330200031300000
5313130130240340
613202320520000
71320050544123
oct227440156000
957450775800
1020342430720
118699854317
123b38780000
131bc2610771
14dad9823ba
157e0d5bd30
hex4bc80dc00

20342430720 has 440 divisors, whose sum is σ = 73568983488. Its totient is φ = 5374771200.

The previous prime is 20342430709. The next prime is 20342430721. The reversal of 20342430720 is 2703424302.

20342430720 is a `hidden beast` number, since 203 + 4 + 2 + 430 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342430721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75064185 + ... + 75064455.

Almost surely, 220342430720 is an apocalyptic number.

20342430720 is a gapful number since it is divisible by the number (20) 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 20342430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36784491744).

20342430720 is an abundant number, since it is smaller than the sum of its proper divisors (53226552768).

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

20342430720 is a wasteful number, since it uses less digits than its factorization.

20342430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 20342430720 in words is "twenty billion, three hundred forty-two million, four hundred thirty thousand, seven hundred twenty".