Search a number
-
+
3394040 = 2351361107
BaseRepresentation
bin1100111100100111111000
320101102202012
430330213320
51332102130
6200425052
740564106
oct14744770
96342665
103394040
111a08aa1
121178188
1391ab10
14644c76
15470995
hex33c9f8

3394040 has 64 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1221120.

The previous prime is 3394037. The next prime is 3394043. The reversal of 3394040 is 404933.

It is an interprime number because it is at equal distance from previous prime (3394037) and next prime (3394043).

It is a junction number, because it is equal to n+sod(n) for n = 3393997 and 3394015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394043) 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, 31667 + ... + 31773.

Almost surely, 23394040 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 3394040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3394040 is an abundant number, since it is smaller than the sum of its proper divisors (5042920).

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

3394040 is a wasteful number, since it uses less digits than its factorization.

3394040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3394040 is about 1842.2920506803. The cubic root of 3394040 is about 150.2815452918.

Adding to 3394040 its reverse (404933), we get a palindrome (3798973).

The spelling of 3394040 in words is "three million, three hundred ninety-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 107 122 130 214 244 260 305 428 488 520 535 610 793 856 1070 1220 1391 1586 2140 2440 2782 3172 3965 4280 5564 6344 6527 6955 7930 11128 13054 13910 15860 26108 27820 31720 32635 52216 55640 65270 84851 130540 169702 261080 339404 424255 678808 848510 1697020 3394040