Search a number
-
+
3396484 = 2272133143
BaseRepresentation
bin1100111101001110000100
320101120002201
430331032010
51332141414
6200444244
740604200
oct14751604
96346081
103396484
111a0a913
121179684
1391bc70
14645b00
15471574
hex33d384

3396484 has 72 divisors (see below), whose sum is σ = 7865088. Its totient is φ = 1270080.

The previous prime is 3396473. The next prime is 3396487. The reversal of 3396484 is 4846933.

3396484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33964842 = 23072207124512, which contains 22 as substring.

Its product of digits (62208) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3396487) 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 23 ways as a sum of consecutive naturals, for example, 78967 + ... + 79009.

Almost surely, 23396484 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 3396484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932544).

3396484 is an abundant number, since it is smaller than the sum of its proper divisors (4468604).

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

3396484 is a wasteful number, since it uses less digits than its factorization.

3396484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 3396484 is about 1842.9552354846. The cubic root of 3396484 is about 150.3176085057.

Subtracting from 3396484 its product of digits (62208), we obtain a square (3334276 = 18262).

The spelling of 3396484 in words is "three million, three hundred ninety-six thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 31 43 49 52 62 86 91 98 124 172 182 196 217 301 364 403 434 559 602 637 806 868 1118 1204 1274 1333 1519 1612 2107 2236 2548 2666 2821 3038 3913 4214 5332 5642 6076 7826 8428 9331 11284 15652 17329 18662 19747 27391 34658 37324 39494 54782 65317 69316 78988 109564 121303 130634 242606 261268 485212 849121 1698242 3396484