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323101312 = 2743471249
BaseRepresentation
bin10011010000100…
…010001010000000
3211111222020200021
4103100202022000
51130203220222
652021103224
711002213222
oct2320421200
9744866607
10323101312
11156422886
1290257b14
1351c28a11
1430ca8412
151d573ac7
hex13422280

323101312 has 64 divisors (see below), whose sum is σ = 673200000. Its totient is φ = 154312704.

The previous prime is 323101291. The next prime is 323101319. The reversal of 323101312 is 213101323.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3231013122 = 208788915632242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (323101319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258064 + ... + 259312.

It is an arithmetic number, because the mean of its divisors is an integer number (10518750).

Almost surely, 2323101312 is an apocalyptic number.

323101312 is a gapful number since it is divisible by the number (32) 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 323101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336600000).

323101312 is an abundant number, since it is smaller than the sum of its proper divisors (350098688).

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

323101312 is a wasteful number, since it uses less digits than its factorization.

323101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 323101312 is about 17975.0191098647. The cubic root of 323101312 is about 686.1929322166.

Adding to 323101312 its reverse (213101323), we get a palindrome (536202635).

The spelling of 323101312 in words is "three hundred twenty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 128 172 188 344 376 688 752 1249 1376 1504 2021 2498 2752 3008 4042 4996 5504 6016 8084 9992 16168 19984 32336 39968 53707 58703 64672 79936 107414 117406 129344 159872 214828 234812 258688 429656 469624 859312 939248 1718624 1878496 2524229 3437248 3756992 5048458 6874496 7513984 10096916 20193832 40387664 80775328 161550656 323101312