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2345363020 = 22571113193607
BaseRepresentation
bin1000101111001011…
…0110011001001100
320001110012210020001
42023302312121030
514300403104040
61024421134044
7112056154030
oct21362663114
96043183201
102345363020
11aa3994a50
1255555a324
132b4b98a90
141836ba1c0
15dad8259a
hex8bcb664c

2345363020 has 192 divisors, whose sum is σ = 6658154496. Its totient is φ = 670187520.

The previous prime is 2345363011. The next prime is 2345363101. The reversal of 2345363020 is 203635432.

2345363020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2345363020.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3863557 + ... + 3864163.

It is an arithmetic number, because the mean of its divisors is an integer number (34677888).

Almost surely, 22345363020 is an apocalyptic number.

2345363020 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 2345363020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329077248).

2345363020 is an abundant number, since it is smaller than the sum of its proper divisors (4312791476).

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

2345363020 is a wasteful number, since it uses less digits than its factorization.

2345363020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 2345363020 is about 48428.9481611980. The cubic root of 2345363020 is about 1328.6278686251.

Adding to 2345363020 its reverse (203635432), we get a palindrome (2548998452).

The spelling of 2345363020 in words is "two billion, three hundred forty-five million, three hundred sixty-three thousand, twenty".