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1323830052 = 2232176135461
BaseRepresentation
bin100111011101000…
…0000101100100100
310102021000112102200
41032322000230210
510202400030202
6335210134500
744543240556
oct11672005444
93367015380
101323830052
1161a2a4126
1230b421430
1318135c7bc
14c7b654d6
157b34ae1c
hex4ee80b24

1323830052 has 72 divisors (see below), whose sum is σ = 3601378872. Its totient is φ = 408499200.

The previous prime is 1323830051. The next prime is 1323830087. The reversal of 1323830052 is 2500383231.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 1278348516 = 6744^2 + 35754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1323829998 and 1323830025.

It is not an unprimeable number, because it can be changed into a prime (1323830051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19602 + ... + 55062.

It is an arithmetic number, because the mean of its divisors is an integer number (50019151).

Almost surely, 21323830052 is an apocalyptic number.

1323830052 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 1323830052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800689436).

1323830052 is an abundant number, since it is smaller than the sum of its proper divisors (2277548820).

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

1323830052 is a wasteful number, since it uses less digits than its factorization.

1323830052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35549 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1323830052 is about 36384.4754256537. The cubic root of 1323830052 is about 1098.0212503477.

The spelling of 1323830052 in words is "one billion, three hundred twenty-three million, eight hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 9333 12444 18666 35461 37332 70922 106383 141844 212766 319149 425532 602837 638298 1205674 1276596 1808511 2163121 2411348 3617022 4326242 5425533 6489363 7234044 8652484 10851066 12978726 19468089 21702132 25957452 36773057 38936178 73546114 77872356 110319171 147092228 220638342 330957513 441276684 661915026 1323830052