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3906312 = 233375383
BaseRepresentation
bin1110111001101100001000
321100110110020
432321230020
52000000222
6215420440
745126444
oct16715410
97313406
103906312
112228963
121384720
13a6a037
14739824
1552265c
hex3b9b08

3906312 has 64 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1228032.

The previous prime is 3906307. The next prime is 3906319. The reversal of 3906312 is 2136093.

3906312 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 (3906319) 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, 47023 + ... + 47105.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 23906312 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 3906312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3906312 is an abundant number, since it is smaller than the sum of its proper divisors (6435768).

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

3906312 is a wasteful number, since it uses less digits than its factorization.

3906312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3906312 is about 1976.4392224402. The cubic root of 3906312 is about 157.4909644602.

The spelling of 3906312 in words is "three million, nine hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 83 106 111 148 159 166 212 222 249 296 318 332 424 444 498 636 664 888 996 1272 1961 1992 3071 3922 4399 5883 6142 7844 8798 9213 11766 12284 13197 15688 17596 18426 23532 24568 26394 35192 36852 47064 52788 73704 105576 162763 325526 488289 651052 976578 1302104 1953156 3906312