Search a number
-
+
1323030312 = 2332374112113
BaseRepresentation
bin100111011011011…
…1101011100101000
310102012111220101200
41032312331130220
510202143432222
6335141044200
744533400142
oct11666753450
93365456350
101323030312
116198a828a
1230b0b6660
1318113c796
14c79d7c92
157b23deac
hex4edbd728

1323030312 has 96 divisors (see below), whose sum is σ = 3770119080. Its totient is φ = 418590720.

The previous prime is 1323030299. The next prime is 1323030347. The reversal of 1323030312 is 2130303231.

1323030312 is a `hidden beast` number, since 1 + 323 + 0 + 30 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 965593476 + 357436836 = 31074^2 + 18906^2 .

It is a super-3 number, since 3×13230303123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103168 + ... + 115280.

Almost surely, 21323030312 is an apocalyptic number.

1323030312 is a gapful number since it is divisible by the number (12) 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 1323030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885059540).

1323030312 is an abundant number, since it is smaller than the sum of its proper divisors (2447088768).

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

1323030312 is a wasteful number, since it uses less digits than its factorization.

1323030312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12203 (or 12196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1323030312 is about 36373.4836384969. The cubic root of 1323030312 is about 1097.8000969848.

Adding to 1323030312 its reverse (2130303231), we get a palindrome (3453333543).

The spelling of 1323030312 in words is "one billion, three hundred twenty-three million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 222 246 296 328 333 369 444 492 666 738 888 984 1332 1476 1517 2664 2952 3034 4551 6068 9102 12113 12136 13653 18204 24226 27306 36339 36408 48452 54612 72678 96904 109017 109224 145356 218034 290712 436068 448181 496633 872136 896362 993266 1344543 1489899 1792724 1986532 2689086 2979798 3585448 3973064 4033629 4469697 5378172 5959596 8067258 8939394 10756344 11919192 16134516 17878788 18375421 32269032 35757576 36750842 55126263 73501684 110252526 147003368 165378789 220505052 330757578 441010104 661515156 1323030312