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1303240320 = 27335531423
BaseRepresentation
bin100110110101101…
…1101111010000000
310100211021110122000
41031223131322000
510132112142240
6333152544000
744203234314
oct11553357200
93324243560
101303240320
11609710818
12304552000
1317a000b25
14c5125b44
1579630430
hex4dadde80

1303240320 has 256 divisors, whose sum is σ = 4706035200. Its totient is φ = 340733952.

The previous prime is 1303240303. The next prime is 1303240361. The reversal of 1303240320 is 230423031.

1303240320 is a `hidden beast` number, since 1 + 303 + 2 + 40 + 320 = 666.

1303240320 is digitally balanced in base 4, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1303240293 and 1303240302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915129 + ... + 916551.

It is an arithmetic number, because the mean of its divisors is an integer number (18382950).

Almost surely, 21303240320 is an apocalyptic number.

1303240320 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 1303240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353017600).

1303240320 is an abundant number, since it is smaller than the sum of its proper divisors (3402794880).

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

1303240320 is a wasteful number, since it uses less digits than its factorization.

1303240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1303240320 is about 36100.4199421558. The cubic root of 1303240320 is about 1092.2989158751.

Adding to 1303240320 its reverse (230423031), we get a palindrome (1533663351).

The spelling of 1303240320 in words is "one billion, three hundred three million, two hundred forty thousand, three hundred twenty".