Search a number
-
+
3439890 = 2325371033
BaseRepresentation
bin1101000111110100010010
320110202122100
431013310102
51340034030
6201421230
741144556
oct15076422
96422570
103439890
111a3a493
12119a816
1393594c
14657866
1547e360
hex347d12

3439890 has 48 divisors (see below), whose sum is σ = 9194328. Its totient is φ = 891648.

The previous prime is 3439889. The next prime is 3439901. The reversal of 3439890 is 989343.

3439890 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 4 ways, for example, as 3426201 + 13689 = 1851^2 + 117^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2814 + ... + 3846.

Almost surely, 23439890 is an apocalyptic number.

3439890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3439890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597164).

3439890 is an abundant number, since it is smaller than the sum of its proper divisors (5754438).

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

3439890 is a wasteful number, since it uses less digits than its factorization.

3439890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3439890 is about 1854.6940448494. The cubic root of 3439890 is about 150.9552372324.

The spelling of 3439890 in words is "three million, four hundred thirty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1033 1110 1665 2066 3099 3330 5165 6198 9297 10330 15495 18594 30990 38221 46485 76442 92970 114663 191105 229326 343989 382210 573315 687978 1146630 1719945 3439890