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1304444304 = 243315119997
BaseRepresentation
bin100110111000000…
…0011110110010000
310100220112122012000
41031300003312100
510132414204204
6333234434000
744216410422
oct11560036620
93326478160
101304444304
1160a363349
12304a32900
1317a332b47
14c535a812
15797bc039
hex4dc03d90

1304444304 has 80 divisors (see below), whose sum is σ = 3769223040. Its totient is φ = 431913600.

The previous prime is 1304444303. The next prime is 1304444329. The reversal of 1304444304 is 4034444031.

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

It is not an unprimeable number, because it can be changed into a prime (1304444303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55234 + ... + 75230.

It is an arithmetic number, because the mean of its divisors is an integer number (47115288).

Almost surely, 21304444304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884611520).

1304444304 is an abundant number, since it is smaller than the sum of its proper divisors (2464778736).

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

1304444304 is a wasteful number, since it uses less digits than its factorization.

1304444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20165 (or 20153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1304444304 is about 36117.0915772574. The cubic root of 1304444304 is about 1092.6351817252.

Adding to 1304444304 its reverse (4034444031), we get a palindrome (5338888335).

The spelling of 1304444304 in words is "one billion, three hundred four million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1208 1359 1812 2416 2718 3624 4077 5436 7248 8154 10872 16308 19997 21744 32616 39994 59991 65232 79988 119982 159976 179973 239964 319952 359946 479928 539919 719892 959856 1079838 1439784 2159676 2879568 3019547 4319352 6039094 8638704 9058641 12078188 18117282 24156376 27175923 36234564 48312752 54351846 72469128 81527769 108703692 144938256 163055538 217407384 326111076 434814768 652222152 1304444304