Search a number
-
+
3485408 = 251743149
BaseRepresentation
bin1101010010111011100000
320120002002012
431102323200
51343013113
6202412052
741424353
oct15227340
96502065
103485408
111a70703
121201028
13950594
1466a29a
1548caa8
hex352ee0

3485408 has 48 divisors (see below), whose sum is σ = 7484400. Its totient is φ = 1591296.

The previous prime is 3485393. The next prime is 3485411. The reversal of 3485408 is 8045843.

3485408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23318 + ... + 23466.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 23485408 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 3485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742200).

3485408 is an abundant number, since it is smaller than the sum of its proper divisors (3998992).

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

3485408 is a wasteful number, since it uses less digits than its factorization.

3485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 3485408 is about 1866.9247440644. The cubic root of 3485408 is about 151.6181551299.

The spelling of 3485408 in words is "three million, four hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 149 172 272 298 344 544 596 688 731 1192 1376 1462 2384 2533 2924 4768 5066 5848 6407 10132 11696 12814 20264 23392 25628 40528 51256 81056 102512 108919 205024 217838 435676 871352 1742704 3485408