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3464340 = 22351129181
BaseRepresentation
bin1101001101110010010100
320112000011220
431031302110
51341324330
6202130340
741306055
oct15156224
96460156
103464340
111a568a0
1211b09b0
13943b09
1466272c
15486710
hex34dc94

3464340 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 806400.

The previous prime is 3464333. The next prime is 3464341. The reversal of 3464340 is 434643.

3464340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3464340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464341) 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 31 ways as a sum of consecutive naturals, for example, 19050 + ... + 19230.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 23464340 is an apocalyptic number.

3464340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3464340 is an abundant number, since it is smaller than the sum of its proper divisors (7543020).

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

3464340 is a wasteful number, since it uses less digits than its factorization.

3464340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3464340 is about 1861.2737574038. The cubic root of 3464340 is about 151.3120456687.

Adding to 3464340 its reverse (434643), we get a palindrome (3898983).

The spelling of 3464340 in words is "three million, four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 181 220 290 319 330 348 362 435 543 580 638 660 724 870 905 957 1086 1276 1595 1740 1810 1914 1991 2172 2715 3190 3620 3828 3982 4785 5249 5430 5973 6380 7964 9570 9955 10498 10860 11946 15747 19140 19910 20996 23892 26245 29865 31494 39820 52490 57739 59730 62988 78735 104980 115478 119460 157470 173217 230956 288695 314940 346434 577390 692868 866085 1154780 1732170 3464340