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1304404010 = 2572131931061
BaseRepresentation
bin100110110111111…
…1010000000101010
310100220110120220122
41031233322000222
510132411412020
6333233523242
744216152100
oct11557720052
93326416818
101304404010
1160a336048
12304a13522
1317a31a6c0
14c5349c70
15797b0125
hex4dbfa02a

1304404010 has 96 divisors (see below), whose sum is σ = 2959386192. Its totient is φ = 410296320.

The previous prime is 1304404009. The next prime is 1304404027. The reversal of 1304404010 is 104044031.

It can be written as a sum of positive squares in 8 ways, for example, as 261695329 + 1042708681 = 16177^2 + 32291^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1304404010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228880 + ... + 1229940.

Almost surely, 21304404010 is an apocalyptic number.

1304404010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1304404010 is an abundant number, since it is smaller than the sum of its proper divisors (1654982182).

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

1304404010 is a wasteful number, since it uses less digits than its factorization.

1304404010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1304404010 is about 36116.5337484095. The cubic root of 1304404010 is about 1092.6239311886.

Adding to 1304404010 its reverse (104044031), we get a palindrome (1408448041).

The spelling of 1304404010 in words is "one billion, three hundred four million, four hundred four thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 193 245 386 455 490 637 910 965 1061 1274 1351 1930 2122 2509 2702 3185 5018 5305 6370 6755 7427 9457 10610 12545 13510 13793 14854 17563 18914 25090 27586 35126 37135 47285 51989 68965 74270 87815 94570 96551 103978 122941 137930 175630 193102 204773 245882 259945 409546 482755 519890 614705 675857 965510 1023865 1229410 1351714 1433411 2047730 2662049 2866822 3379285 5324098 6758570 7167055 10033877 13310245 14334110 18634343 20067754 26620490 37268686 50169385 93171715 100338770 130440401 186343430 260880802 652202005 1304404010