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2896344 = 2333112353
BaseRepresentation
bin1011000011000111011000
312110011001000
423003013120
51220140334
6142025000
733422103
oct13030730
95404030
102896344
1116a9080
12b78160
137a5419
1455573a
153c3299
hex2c31d8

2896344 has 128 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 823680.

The previous prime is 2896339. The next prime is 2896349. The reversal of 2896344 is 4436982.

It is a happy number.

2896344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2896339) and next prime (2896349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2896299 and 2896308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54622 + ... + 54674.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

22896344 is an apocalyptic number.

2896344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

2896344 is an abundant number, since it is smaller than the sum of its proper divisors (6434856).

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

2896344 is a wasteful number, since it uses less digits than its factorization.

2896344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2896344 is about 1701.8648594997. The cubic root of 2896344 is about 142.5443629189.

It can be divided in two parts, 2896 and 344, that added together give a triangular number (3240 = T80).

The spelling of 2896344 in words is "two million, eight hundred ninety-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 53 54 66 69 72 88 92 99 106 108 132 138 159 184 198 207 212 216 253 264 276 297 318 396 414 424 477 506 552 583 594 621 636 759 792 828 954 1012 1166 1188 1219 1242 1272 1431 1518 1656 1749 1908 2024 2277 2332 2376 2438 2484 2862 3036 3498 3657 3816 4554 4664 4876 4968 5247 5724 6072 6831 6996 7314 9108 9752 10494 10971 11448 13409 13662 13992 14628 15741 18216 20988 21942 26818 27324 29256 31482 32913 40227 41976 43884 53636 54648 62964 65826 80454 87768 107272 120681 125928 131652 160908 241362 263304 321816 362043 482724 724086 965448 1448172 2896344