[go: up one dir, main page]

Search a number
-
+
3362656 = 251141233
BaseRepresentation
bin1100110100111101100000
320022211200211
430310331200
51330101111
6200023504
740403443
oct14647540
96284624
103362656
111997460
121161b94
1390974b
1463765a
15466521
hex334f60

3362656 has 48 divisors (see below), whose sum is σ = 7429968. Its totient is φ = 1484800.

The previous prime is 3362633. The next prime is 3362657. The reversal of 3362656 is 6562633.

3362656 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 2×33626562 = 22614910748672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362657) 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 7 ways as a sum of consecutive naturals, for example, 14316 + ... + 14548.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

Almost surely, 23362656 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 3362656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984).

3362656 is an abundant number, since it is smaller than the sum of its proper divisors (4067312).

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

3362656 is a wasteful number, since it uses less digits than its factorization.

3362656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 19440, while the sum is 31.

The square root of 3362656 is about 1833.7546182628. The cubic root of 3362656 is about 149.8169025189.

It can be divided in two parts, 336 and 2656, that added together give a palindrome (2992).

The spelling of 3362656 in words is "three million, three hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 233 328 352 451 466 656 902 932 1312 1804 1864 2563 3608 3728 5126 7216 7456 9553 10252 14432 19106 20504 38212 41008 76424 82016 105083 152848 210166 305696 420332 840664 1681328 3362656