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1323143304 = 233753181821
BaseRepresentation
bin100111011011101…
…1001000010001000
310102012201122101120
41032313121002020
510202211041204
6335143315240
744534350440
oct11667310210
93365648346
101323143304
1161997516a
1230b14bb20
1318117c042
14c7a27120
157b2626d9
hex4edd9088

1323143304 has 128 divisors (see below), whose sum is σ = 3877735680. Its totient is φ = 368409600.

The previous prime is 1323143293. The next prime is 1323143317. The reversal of 1323143304 is 4033413231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1611214 + ... + 1612034.

It is an arithmetic number, because the mean of its divisors is an integer number (30294810).

Almost surely, 21323143304 is an apocalyptic number.

1323143304 is a gapful number since it is divisible by the number (14) 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 1323143304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938867840).

1323143304 is an abundant number, since it is smaller than the sum of its proper divisors (2554592376).

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

1323143304 is a wasteful number, since it uses less digits than its factorization.

1323143304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

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

The square root of 1323143304 is about 36375.0368247236. The cubic root of 1323143304 is about 1097.8313482460.

Adding to 1323143304 its reverse (4033413231), we get a palindrome (5356556535).

The spelling of 1323143304 in words is "one billion, three hundred twenty-three million, one hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 181 212 318 362 371 424 543 636 724 742 821 1086 1113 1267 1272 1448 1484 1642 2172 2226 2463 2534 2968 3284 3801 4344 4452 4926 5068 5747 6568 7602 8904 9593 9852 10136 11494 15204 17241 19186 19704 22988 28779 30408 34482 38372 43513 45976 57558 67151 68964 76744 87026 115116 130539 134302 137928 148601 174052 201453 230232 261078 268604 297202 304591 348104 402906 445803 522156 537208 594404 609182 805812 891606 913773 1040207 1044312 1188808 1218364 1611624 1783212 1827546 2080414 2436728 3120621 3566424 3655092 4160828 6241242 7310184 7875853 8321656 12482484 15751706 23627559 24964968 31503412 47255118 55130971 63006824 94510236 110261942 165392913 189020472 220523884 330785826 441047768 661571652 1323143304