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1304323020 = 223357111319127
BaseRepresentation
bin100110110111110…
…0110001111001100
310100220022110211000
41031233212033030
510132401314040
6333232100300
744215364010
oct11557461714
93326273730
101304323020
1160a290210
12304994690
1317a2bc890
14c5328540
1579796130
hex4dbe63cc

1304323020 has 768 divisors, whose sum is σ = 5780275200. Its totient is φ = 235146240.

The previous prime is 1304323003. The next prime is 1304323021. The reversal of 1304323020 is 203234031.

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 = 1304322984 and 1304323002.

It is not an unprimeable number, because it can be changed into a prime (1304323021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10270197 + ... + 10270323.

It is an arithmetic number, because the mean of its divisors is an integer number (7526400).

Almost surely, 21304323020 is an apocalyptic number.

1304323020 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 1304323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890137600).

1304323020 is an abundant number, since it is smaller than the sum of its proper divisors (4475952180).

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

1304323020 is a wasteful number, since it uses less digits than its factorization.

1304323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

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

The square root of 1304323020 is about 36115.4124993748. The cubic root of 1304323020 is about 1092.6013171715.

Adding to 1304323020 its reverse (203234031), we get a palindrome (1507557051).

It can be divided in two parts, 13043 and 23020, that added together give a palindrome (36063).

The spelling of 1304323020 in words is "one billion, three hundred four million, three hundred twenty-three thousand, twenty".