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2420341000 = 235371117432
BaseRepresentation
bin1001000001000011…
…0111100100001000
320020200022001200021
42100100313210020
514424101403000
61040100150224
7113656362520
oct22020674410
96220261607
102420341000
111032246020
12576698374
132c758b34c
1418d636680
15e274311a
hex90437908

2420341000 has 384 divisors, whose sum is σ = 7654383360. Its totient is φ = 693504000.

The previous prime is 2420340997. The next prime is 2420341019. The reversal of 2420341000 is 1430242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56286979 + ... + 56287021.

It is an arithmetic number, because the mean of its divisors is an integer number (19933290).

Almost surely, 22420341000 is an apocalyptic number.

2420341000 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 2420341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827191680).

2420341000 is an abundant number, since it is smaller than the sum of its proper divisors (5234042360).

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

2420341000 is a wasteful number, since it uses less digits than its factorization.

2420341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2420341000 is about 49196.9612882747. The cubic root of 2420341000 is about 1342.6377462819.

Adding to 2420341000 its reverse (1430242), we get a palindrome (2421771242).

The spelling of 2420341000 in words is "two billion, four hundred twenty million, three hundred forty-one thousand".