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1303314324 = 22313471491193
BaseRepresentation
bin100110110101110…
…1111111110010100
310100211102020010220
41031223233332110
510132122024244
6333154314340
744203663134
oct11553577624
93324366126
101303314324
11609761384
123045889b0
1317a028710
14c5144ac4
1579647319
hex4daeff94

1303314324 has 96 divisors (see below), whose sum is σ = 3369945600. Its totient is φ = 389526528.

The previous prime is 1303314319. The next prime is 1303314409. The reversal of 1303314324 is 4234133031.

It is a junction number, because it is equal to n+sod(n) for n = 1303314294 and 1303314303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091872 + ... + 1093064.

It is an arithmetic number, because the mean of its divisors is an integer number (35103600).

Almost surely, 21303314324 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 1303314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684972800).

1303314324 is an abundant number, since it is smaller than the sum of its proper divisors (2066631276).

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

1303314324 is a wasteful number, since it uses less digits than its factorization.

1303314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1303314324 is about 36101.4449018318. Note that the first 3 decimals coincide. The cubic root of 1303314324 is about 1092.3195907417.

Adding to 1303314324 its reverse (4234133031), we get a palindrome (5537447355).

The spelling of 1303314324 in words is "one billion, three hundred three million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 149 156 188 282 298 447 564 596 611 894 1193 1222 1788 1833 1937 2386 2444 3579 3666 3874 4772 5811 7003 7158 7332 7748 11622 14006 14316 15509 21009 23244 28012 31018 42018 46527 56071 62036 84036 91039 93054 112142 168213 177757 182078 186108 224284 273117 336426 355514 364156 533271 546234 672852 711028 728923 1066542 1092468 1457846 2133084 2186769 2310841 2915692 4373538 4621682 6932523 8354579 8747076 9243364 13865046 16709158 25063737 27730092 33418316 50127474 100254948 108609527 217219054 325828581 434438108 651657162 1303314324