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12364380 = 2233573271
BaseRepresentation
bin101111001010…
…101001011100
3212021011202000
4233022221130
511131130010
61121002300
7210044520
oct57125134
925234660
1012364380
116a855a6
124183390
13273bb02
1418dbd80
1511437c0
hexbcaa5c

12364380 has 96 divisors (see below), whose sum is σ = 43975680. Its totient is φ = 2825280.

The previous prime is 12364379. The next prime is 12364393. The reversal of 12364380 is 8346321.

12364380 = 3502 + 3512 + ... + 4302.

It is a happy number.

12364380 is a `hidden beast` number, since 12 + 3 + 643 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2145 + ... + 5415.

It is an arithmetic number, because the mean of its divisors is an integer number (458080).

Almost surely, 212364380 is an apocalyptic number.

12364380 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 12364380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987840).

12364380 is an abundant number, since it is smaller than the sum of its proper divisors (31611300).

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

12364380 is a wasteful number, since it uses less digits than its factorization.

12364380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12364380 is about 3516.3020348087. The cubic root of 12364380 is about 231.2370647744.

The spelling of 12364380 in words is "twelve million, three hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3271 3780 6542 9813 13084 16355 19626 22897 29439 32710 39252 45794 49065 58878 65420 68691 88317 91588 98130 114485 117756 137382 147195 176634 196260 206073 228970 274764 294390 343455 353268 412146 441585 457940 588780 618219 686910 824292 883170 1030365 1236438 1373820 1766340 2060730 2472876 3091095 4121460 6182190 12364380