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3215968 = 2573293
BaseRepresentation
bin1100010001001001100000
320001101110221
430101021200
51310402333
6152532424
736223000
oct14211140
96041427
103215968
1118a7228
1210b1114
13887a52
145da000
15437d2d
hex311260

3215968 has 48 divisors (see below), whose sum is σ = 7408800. Its totient is φ = 1373568.

The previous prime is 3215963. The next prime is 3215977. The reversal of 3215968 is 8695123.

Its product of digits (12960) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10830 + ... + 11122.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 23215968 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 3215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704400).

3215968 is an abundant number, since it is smaller than the sum of its proper divisors (4192832).

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

3215968 is an equidigital number, since it uses as much as digits as its factorization.

3215968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 3215968 is about 1793.3120196999. The cubic root of 3215968 is about 147.6059642667.

It can be divided in two parts, 32159 and 68, that multiplied together give a palindrome (2186812).

The spelling of 3215968 in words is "three million, two hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 293 343 392 586 686 784 1172 1372 1568 2051 2344 2744 4102 4688 5488 8204 9376 10976 14357 16408 28714 32816 57428 65632 100499 114856 200998 229712 401996 459424 803992 1607984 3215968