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2303032320 = 210325234153
BaseRepresentation
bin1000100101000101…
…0111110000000000
312221111120011102100
42021101113300000
514204034013240
61020305550400
7111033310641
oct21121276000
95844504370
102303032320
11a820022a6
12543345400
132a9197424
1417bc1b6c8
15d72bee30
hex89457c00

2303032320 has 528 divisors, whose sum is σ = 8690939712. Its totient is φ = 562298880.

The previous prime is 2303032309. The next prime is 2303032367. The reversal of 2303032320 is 232303032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2303032293 and 2303032302.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43453414 + ... + 43453466.

Almost surely, 22303032320 is an apocalyptic number.

2303032320 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 2303032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345469856).

2303032320 is an abundant number, since it is smaller than the sum of its proper divisors (6387907392).

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

2303032320 is a wasteful number, since it uses less digits than its factorization.

2303032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2303032320 is about 47989.9189413777. The cubic root of 2303032320 is about 1320.5859657388.

Adding to 2303032320 its reverse (232303032), we get a palindrome (2535335352).

The spelling of 2303032320 in words is "two billion, three hundred three million, thirty-two thousand, three hundred twenty".