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3942344 = 237289113
BaseRepresentation
bin1111000010011111001000
321102021212202
433002133020
52002123334
6220255332
745336500
oct17023710
97367782
103942344
112252a3a
1213a1548
13a80563
14748a00
1552d17e
hex3c27c8

3942344 has 48 divisors (see below), whose sum is σ = 8772300. Its totient is φ = 1655808.

The previous prime is 3942331. The next prime is 3942349. The reversal of 3942344 is 4432493.

3942344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3062500 + 879844 = 1750^2 + 938^2 .

It is a super-3 number, since 3×39423443 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3942349) 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 11 ways as a sum of consecutive naturals, for example, 34832 + ... + 34944.

Almost surely, 23942344 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 3942344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386150).

3942344 is an abundant number, since it is smaller than the sum of its proper divisors (4829956).

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

3942344 is a wasteful number, since it uses less digits than its factorization.

3942344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 3942344 is about 1985.5336814066. The cubic root of 3942344 is about 157.9737177883.

The spelling of 3942344 in words is "three million, nine hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 113 178 196 226 356 392 452 623 712 791 904 1246 1582 2492 3164 4361 4984 5537 6328 8722 10057 11074 17444 20114 22148 34888 40228 44296 70399 80456 140798 281596 492793 563192 985586 1971172 3942344