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1323020034 = 23374797307
BaseRepresentation
bin100111011011011…
…1010111100000010
310102012111101022000
41032312322330002
510202143120114
6335140524430
744533325160
oct11666727402
93365441260
101323020034
116198a0596
1230b0b0716
13181137bbb
14c79d4230
157b23ae09
hex4edbaf02

1323020034 has 64 divisors (see below), whose sum is σ = 3367526400. Its totient is φ = 377164944.

The previous prime is 1323019987. The next prime is 1323020047. The reversal of 1323020034 is 4300203231.

It is a super-2 number, since 2×13230200342 = 3500764020730722312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1323019989 and 1323020016.

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 31 ways as a sum of consecutive naturals, for example, 177409 + ... + 184715.

It is an arithmetic number, because the mean of its divisors is an integer number (52617600).

Almost surely, 21323020034 is an apocalyptic number.

1323020034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323020034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683763200).

1323020034 is an abundant number, since it is smaller than the sum of its proper divisors (2044506366).

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

1323020034 is a wasteful number, since it uses less digits than its factorization.

1323020034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1323020034 is about 36373.3423539823. The cubic root of 1323020034 is about 1097.7972542133.

Adding to 1323020034 its reverse (4300203231), we get a palindrome (5623223265).

The spelling of 1323020034 in words is "one billion, three hundred twenty-three million, twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 479 958 1437 2874 3353 4311 6706 7307 8622 10059 12933 14614 20118 21921 25866 30177 43842 51149 60354 65763 90531 102298 131526 153447 181062 197289 306894 394578 460341 920682 1381023 2762046 3500053 7000106 10500159 21000318 24500371 31500477 49000742 63000954 73501113 94501431 147002226 189002862 220503339 441006678 661510017 1323020034