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3438405 = 325109701
BaseRepresentation
bin1101000111011101000101
320110200121100
431013131011
51340012110
6201410313
741140335
oct15073505
96420540
103438405
111a39363
121199999
13935079
146570c5
1547dbc0
hex347745

3438405 has 24 divisors (see below), whose sum is σ = 6023160. Its totient is φ = 1814400.

The previous prime is 3438397. The next prime is 3438419. The reversal of 3438405 is 5048343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 2259009 = 1086^2 + 1503^2 .

It is not a de Polignac number, because 3438405 - 23 = 3438397 is a prime.

It is a Curzon number.

3438405 is a lucky number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4555 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (250965).

Almost surely, 23438405 is an apocalyptic number.

It is an amenable number.

3438405 is a deficient number, since it is larger than the sum of its proper divisors (2584755).

3438405 is a wasteful number, since it uses less digits than its factorization.

3438405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3438405 is about 1854.2936660626. The cubic root of 3438405 is about 150.9335116547.

The spelling of 3438405 in words is "three million, four hundred thirty-eight thousand, four hundred five".

Divisors: 1 3 5 9 15 45 109 327 545 701 981 1635 2103 3505 4905 6309 10515 31545 76409 229227 382045 687681 1146135 3438405