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2442944 = 26721941
BaseRepresentation
bin1001010100011011000000
311121010002102
421110123000
51111133234
6124205532
726523200
oct11243300
94533072
102442944
111419469
129998a8
13676c3a
14478400
15333c7e
hex2546c0

2442944 has 84 divisors (see below), whose sum is σ = 6080760. Its totient is φ = 967680.

The previous prime is 2442943. The next prime is 2442949. The reversal of 2442944 is 4492442.

It is not an unprimeable number, because it can be changed into a prime (2442941) 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, 59564 + ... + 59604.

It is an arithmetic number, because the mean of its divisors is an integer number (72390).

22442944 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 2442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040380).

2442944 is an abundant number, since it is smaller than the sum of its proper divisors (3637816).

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

2442944 is a wasteful number, since it uses less digits than its factorization.

2442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 2442944 is about 1562.9920025387. The cubic root of 2442944 is about 134.6804329728.

The spelling of 2442944 in words is "two million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 49 56 64 76 82 98 112 133 152 164 196 224 266 287 304 328 392 448 532 574 608 656 779 784 931 1064 1148 1216 1312 1558 1568 1862 2009 2128 2296 2624 3116 3136 3724 4018 4256 4592 5453 6232 7448 8036 8512 9184 10906 12464 14896 16072 18368 21812 24928 29792 32144 38171 43624 49856 59584 64288 76342 87248 128576 152684 174496 305368 348992 610736 1221472 2442944