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1393344 = 26324159
BaseRepresentation
bin101010100001011000000
32121210022100
411110023000
5324041334
645510400
714562141
oct5241300
92553270
101393344
11871927
12572400
1339a284
14283ac8
151c7c99
hex1542c0

1393344 has 84 divisors (see below), whose sum is σ = 4160520. Its totient is φ = 445440.

The previous prime is 1393333. The next prime is 1393361. The reversal of 1393344 is 4433931.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23587 + ... + 23645.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

21393344 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 1393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080260).

1393344 is an abundant number, since it is smaller than the sum of its proper divisors (2767176).

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

1393344 is a wasteful number, since it uses less digits than its factorization.

1393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1393344 is about 1180.3999322264. The cubic root of 1393344 is about 111.6913269464.

The spelling of 1393344 in words is "one million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 59 64 72 82 96 118 123 144 164 177 192 236 246 288 328 354 369 472 492 531 576 656 708 738 944 984 1062 1312 1416 1476 1888 1968 2124 2419 2624 2832 2952 3776 3936 4248 4838 5664 5904 7257 7872 8496 9676 11328 11808 14514 16992 19352 21771 23616 29028 33984 38704 43542 58056 77408 87084 116112 154816 174168 232224 348336 464448 696672 1393344