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3256224 = 253107317
BaseRepresentation
bin1100011010111110100000
320010102200220
430122332200
51313144344
6153443040
736451236
oct14327640
96112626
103256224
1119244a4
121110480
138a017a
1460a956
15444c19
hex31afa0

3256224 has 48 divisors (see below), whose sum is σ = 8654688. Its totient is φ = 1071872.

The previous prime is 3256217. The next prime is 3256229. The reversal of 3256224 is 4226523.

3256224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3256194 and 3256203.

It is not an unprimeable number, because it can be changed into a prime (3256229) 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, 10114 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (180306).

Almost surely, 23256224 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 3256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344).

3256224 is an abundant number, since it is smaller than the sum of its proper divisors (5398464).

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

3256224 is a wasteful number, since it uses less digits than its factorization.

3256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 3256224 is about 1804.5010390687. The cubic root of 3256224 is about 148.2192999209.

Subtracting 3256224 from its reverse (4226523), we obtain a cube (970299 = 993).

The spelling of 3256224 in words is "three million, two hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 317 321 428 634 642 856 951 1268 1284 1712 1902 2536 2568 3424 3804 5072 5136 7608 10144 10272 15216 30432 33919 67838 101757 135676 203514 271352 407028 542704 814056 1085408 1628112 3256224