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1304324560 = 245711211741
BaseRepresentation
bin100110110111110…
…0110100111010000
310100220022112221001
41031233212213100
510132401341220
6333232111344
744215401340
oct11557464720
93326275831
101304324560
1160a291390
12304995554
1317a2c04a6
14c5328d20
157979680a
hex4dbe69d0

1304324560 has 80 divisors (see below), whose sum is σ = 3780865152. Its totient is φ = 406540800.

The previous prime is 1304324557. The next prime is 1304324569. The reversal of 1304324560 is 654234031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304324569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99711 + ... + 112030.

Almost surely, 21304324560 is an apocalyptic number.

1304324560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304324560 is an abundant number, since it is smaller than the sum of its proper divisors (2476540592).

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

1304324560 is a wasteful number, since it uses less digits than its factorization.

1304324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211772 (or 211766 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1304324560 is about 36115.4338199059. The cubic root of 1304324560 is about 1092.6017471788.

Adding to 1304324560 its reverse (654234031), we get a palindrome (1958558591).

The spelling of 1304324560 in words is "one billion, three hundred four million, three hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 211741 423482 846964 1058705 1482187 1693928 2117410 2329151 2964374 3387856 4234820 4658302 5928748 7410935 8469640 9316604 11645755 11857496 14821870 16304057 16939280 18633208 23291510 23714992 29643740 32608114 37266416 46583020 59287480 65216228 81520285 93166040 118574960 130432456 163040570 186332080 260864912 326081140 652162280 1304324560