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2941344 = 253271459
BaseRepresentation
bin1011001110000110100000
312112102202200
423032012200
51223110334
6143013200
734000230
oct13160640
95472680
102941344
11172996a
12b9a200
137bca53
14567cc0
153d1799
hex2ce1a0

2941344 has 72 divisors (see below), whose sum is σ = 9565920. Its totient is φ = 839808.

The previous prime is 2941339. The next prime is 2941349. The reversal of 2941344 is 4431492.

It is an interprime number because it is at equal distance from previous prime (2941339) and next prime (2941349).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2941349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287 + ... + 2745.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

22941344 is an apocalyptic number.

2941344 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 2941344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782960).

2941344 is an abundant number, since it is smaller than the sum of its proper divisors (6624576).

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

2941344 is a wasteful number, since it uses less digits than its factorization.

2941344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1471 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2941344 is about 1715.0346935266. The cubic root of 2941344 is about 143.2788014419.

The spelling of 2941344 in words is "two million, nine hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1459 2016 2918 4377 5836 8754 10213 11672 13131 17508 20426 23344 26262 30639 35016 40852 46688 52524 61278 70032 81704 91917 105048 122556 140064 163408 183834 210096 245112 326816 367668 420192 490224 735336 980448 1470672 2941344