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1230448320 = 26345371283
BaseRepresentation
bin100100101010111…
…0010011011000000
310011202022020210000
41021111302123000
510004443321240
6322032440000
742330431613
oct11125623300
93152266700
101230448320
11581613042
122a40a9000
13167bc553a
14b95b817a
1573052430
hex495726c0

1230448320 has 280 divisors, whose sum is σ = 4498719984. Its totient is φ = 319002624.

The previous prime is 1230448313. The next prime is 1230448339. The reversal of 1230448320 is 238440321.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 958399 + ... + 959681.

Almost surely, 21230448320 is an apocalyptic number.

1230448320 is a gapful number since it is divisible by the number (10) 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 1230448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249359992).

1230448320 is an abundant number, since it is smaller than the sum of its proper divisors (3268271664).

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

1230448320 is a wasteful number, since it uses less digits than its factorization.

1230448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1230448320 is about 35077.7467919477. The cubic root of 1230448320 is about 1071.5714296370.

Adding to 1230448320 its reverse (238440321), we get a palindrome (1468888641).

The spelling of 1230448320 in words is "one billion, two hundred thirty million, four hundred forty-eight thousand, three hundred twenty".