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2324256 = 253113171
BaseRepresentation
bin1000110111011100100000
311101002021120
420313130200
51043334011
6121452240
725520154
oct10673440
94332246
102324256
111348280
12941080
13634bcc
14447064
1530da06
hex237720

2324256 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 672000.

The previous prime is 2324237. The next prime is 2324261. The reversal of 2324256 is 6524232.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 25 + 311 + 27 + 42 + 221 + 55 + 66 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32701 + ... + 32771.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

22324256 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 2324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2324256 is an abundant number, since it is smaller than the sum of its proper divisors (4643040).

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

2324256 is a wasteful number, since it uses less digits than its factorization.

2324256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

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

The square root of 2324256 is about 1524.5510814663. The cubic root of 2324256 is about 132.4630204148.

Subtracting from 2324256 its sum of digits (24), we obtain a palindrome (2324232).

Adding to 2324256 its reverse (6524232), we get a palindrome (8848488).

The spelling of 2324256 in words is "two million, three hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 71 88 93 96 124 132 142 176 186 213 248 264 284 341 352 372 426 496 528 568 682 744 781 852 992 1023 1056 1136 1364 1488 1562 1704 2046 2201 2272 2343 2728 2976 3124 3408 4092 4402 4686 5456 6248 6603 6816 8184 8804 9372 10912 12496 13206 16368 17608 18744 24211 24992 26412 32736 35216 37488 48422 52824 70432 72633 74976 96844 105648 145266 193688 211296 290532 387376 581064 774752 1162128 2324256