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3942312 = 23311109137
BaseRepresentation
bin1111000010011110101000
321102021211120
433002132220
52002123222
6220255240
745336423
oct17023650
97367746
103942312
112252a10
1213a1520
13a8053a
147489ba
1552d15c
hex3c27a8

3942312 has 64 divisors (see below), whose sum is σ = 10929600. Its totient is φ = 1175040.

The previous prime is 3942311. The next prime is 3942331. The reversal of 3942312 is 2132493.

3942312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3942311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28708 + ... + 28844.

It is an arithmetic number, because the mean of its divisors is an integer number (170775).

Almost surely, 23942312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464800).

3942312 is an abundant number, since it is smaller than the sum of its proper divisors (6987288).

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

3942312 is a wasteful number, since it uses less digits than its factorization.

3942312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 3942312 is about 1985.5256231034. The cubic root of 3942312 is about 157.9732903630.

The spelling of 3942312 in words is "three million, nine hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 137 218 264 274 327 411 436 548 654 822 872 1096 1199 1308 1507 1644 2398 2616 3014 3288 3597 4521 4796 6028 7194 9042 9592 12056 14388 14933 18084 28776 29866 36168 44799 59732 89598 119464 164263 179196 328526 358392 492789 657052 985578 1314104 1971156 3942312