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1323020340 = 2232546715739
BaseRepresentation
bin100111011011011…
…1011000000110100
310102012111101201100
41032312323000310
510202143122330
6335140530100
744533326105
oct11666730064
93365441640
101323020340
116198a0844
1230b0b0930
13181138095
14c79d43ac
157b23b060
hex4edbb034

1323020340 has 72 divisors (see below), whose sum is σ = 4022010720. Its totient is φ = 352027584.

The previous prime is 1323020299. The next prime is 1323020353. The reversal of 1323020340 is 430203231.

1323020340 is a `hidden beast` number, since 1 + 323 + 0 + 2 + 0 + 340 = 666.

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

It is a congruent number.

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, 76191 + ... + 91929.

It is an arithmetic number, because the mean of its divisors is an integer number (55861260).

Almost surely, 21323020340 is an apocalyptic number.

1323020340 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 1323020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011005360).

1323020340 is an abundant number, since it is smaller than the sum of its proper divisors (2698990380).

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

1323020340 is a wasteful number, since it uses less digits than its factorization.

1323020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16221 (or 16216 counting only the distinct ones).

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

The square root of 1323020340 is about 36373.3465603593. The cubic root of 1323020340 is about 1097.7973388494.

Adding to 1323020340 its reverse (430203231), we get a palindrome (1753223571).

The spelling of 1323020340 in words is "one billion, three hundred twenty-three million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 14010 15739 16812 21015 28020 31478 42030 47217 62956 78695 84060 94434 141651 157390 188868 236085 283302 314780 472170 566604 708255 944340 1416510 2833020 7350113 14700226 22050339 29400452 36750565 44100678 66151017 73501130 88201356 110251695 132302034 147002260 220503390 264604068 330755085 441006780 661510170 1323020340