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2420342208 = 2635198191
BaseRepresentation
bin1001000001000011…
…0111110111000000
320020200022010100000
42100100313313000
514424101422313
61040100200000
7113656366164
oct22020676700
96220263300
102420342208
111032246a19
12576699000
132c758ba6b
1418d636ca4
15e2743673
hex90437dc0

2420342208 has 168 divisors, whose sum is σ = 7573995520. Its totient is φ = 764225280.

The previous prime is 2420342203. The next prime is 2420342209. The reversal of 2420342208 is 8022430242.

2420342208 is a `hidden beast` number, since 2 + 420 + 34 + 2 + 208 = 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 (2420342203) 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 23 ways as a sum of consecutive naturals, for example, 291393 + ... + 299583.

Almost surely, 22420342208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786997760).

2420342208 is an abundant number, since it is smaller than the sum of its proper divisors (5153653312).

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

2420342208 is an equidigital number, since it uses as much as digits as its factorization.

2420342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2420342208 is about 49196.9735654542. The cubic root of 2420342208 is about 1342.6379696535.

The spelling of 2420342208 in words is "two billion, four hundred twenty million, three hundred forty-two thousand, two hundred eight".