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1304344040 = 2351715112703
BaseRepresentation
bin100110110111110…
…1011010111101000
310100220100112122112
41031233223113220
510132403002130
6333232341452
744215512206
oct11557532750
93326315575
101304344040
1160a2a4a8a
123049a4888
1317a2c930c
14c5332076
157979c495
hex4dbeb5e8

1304344040 has 64 divisors (see below), whose sum is σ = 3128232960. Its totient is φ = 487756800.

The previous prime is 1304344037. The next prime is 1304344051. The reversal of 1304344040 is 404434031.

1304344040 = T485 + T486 + ... + T1994.

It is a junction number, because it is equal to n+sod(n) for n = 1304343997 and 1304344015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96329 + ... + 109031.

It is an arithmetic number, because the mean of its divisors is an integer number (48878640).

Almost surely, 21304344040 is an apocalyptic number.

1304344040 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 1304344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564116480).

1304344040 is an abundant number, since it is smaller than the sum of its proper divisors (1823888920).

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

1304344040 is a wasteful number, since it uses less digits than its factorization.

1304344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1304344040 is about 36115.7035096923. The cubic root of 1304344040 is about 1092.6071864631.

Adding to 1304344040 its reverse (404434031), we get a palindrome (1708778071).

The spelling of 1304344040 in words is "one billion, three hundred four million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 151 170 302 340 604 680 755 1208 1510 2567 3020 5134 6040 10268 12703 12835 20536 25406 25670 50812 51340 63515 101624 102680 127030 215951 254060 431902 508120 863804 1079755 1727608 1918153 2159510 3836306 4319020 7672612 8638040 9590765 15345224 19181530 32608601 38363060 65217202 76726120 130434404 163043005 260868808 326086010 652172020 1304344040