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3905442 = 233312333
BaseRepresentation
bin1110111001011110100010
321100102021000
432321132202
51444433232
6215412430
745124062
oct16713642
97312230
103905442
112228242
121384116
13a69818
147393a2
1552227c
hex3b97a2

3905442 has 32 divisors (see below), whose sum is σ = 8962560. Its totient is φ = 1259280.

The previous prime is 3905441. The next prime is 3905443. The reversal of 3905442 is 2445093.

It is an interprime number because it is at equal distance from previous prime (3905441) and next prime (3905443).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3905441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 508 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (280080).

Almost surely, 23905442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481280).

3905442 is an abundant number, since it is smaller than the sum of its proper divisors (5057118).

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

3905442 is a wasteful number, since it uses less digits than its factorization.

3905442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3905442 is about 1976.2191174058. The cubic root of 3905442 is about 157.4792716485.

It can be divided in two parts, 390 and 5442, that added together give a cube (5832 = 183).

The spelling of 3905442 in words is "three million, nine hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2333 4666 6999 13998 20997 41994 62991 72323 125982 144646 216969 433938 650907 1301814 1952721 3905442