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1323431320 = 235192816197
BaseRepresentation
bin100111011100001…
…1111010110011000
310102020021021110211
41032320133112120
510202244300240
6335153420504
744536660231
oct11670372630
93366237424
101323431320
1161a0515a2
1230b26a734
13181250173
14c7aa0088
157b2bcbea
hex4ee1f598

1323431320 has 64 divisors (see below), whose sum is σ = 3146104800. Its totient is φ = 499645440.

The previous prime is 1323431303. The next prime is 1323431357. The reversal of 1323431320 is 231343231.

It is a junction number, because it is equal to n+sod(n) for n = 1323431291 and 1323431300.

It is a congruent number.

It is an unprimeable number.

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, 210462 + ... + 216658.

Almost surely, 21323431320 is an apocalyptic number.

1323431320 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 1323431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573052400).

1323431320 is an abundant number, since it is smaller than the sum of its proper divisors (1822673480).

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

1323431320 is a wasteful number, since it uses less digits than its factorization.

1323431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1323431320 is about 36378.9955881138. The cubic root of 1323431320 is about 1097.9109994959.

Adding to 1323431320 its reverse (231343231), we get a palindrome (1554774551).

The spelling of 1323431320 in words is "one billion, three hundred twenty-three million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 281 380 562 760 1124 1405 2248 2810 5339 5620 6197 10678 11240 12394 21356 24788 26695 30985 42712 49576 53390 61970 106780 117743 123940 213560 235486 247880 470972 588715 941944 1177430 1741357 2354860 3482714 4709720 6965428 8706785 13930856 17413570 33085783 34827140 66171566 69654280 132343132 165428915 264686264 330857830 661715660 1323431320