Search a number
-
+
1974336 = 263713113
BaseRepresentation
bin111100010000001000000
310201022021120
413202001000
51001134321
6110152240
722532040
oct7420100
93638246
101974336
111129391
127b2680
13541860
14395720
1528eec6
hex1e2040

1974336 has 112 divisors (see below), whose sum is σ = 6486144. Its totient is φ = 516096.

The previous prime is 1974331. The next prime is 1974353. The reversal of 1974336 is 6334791.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1974297 and 1974306.

It is not an unprimeable number, because it can be changed into a prime (1974331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17416 + ... + 17528.

It is an arithmetic number, because the mean of its divisors is an integer number (57912).

21974336 is an apocalyptic number.

1974336 is a gapful number since it is divisible by the number (16) 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 1974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243072).

1974336 is an abundant number, since it is smaller than the sum of its proper divisors (4511808).

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

1974336 is a wasteful number, since it uses less digits than its factorization.

1974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 1974336 is about 1405.1106717978. The cubic root of 1974336 is about 125.4508730857.

The spelling of 1974336 in words is "one million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 113 156 168 182 192 208 224 226 273 312 336 339 364 416 448 452 546 624 672 678 728 791 832 904 1092 1248 1344 1356 1456 1469 1582 1808 2184 2373 2496 2712 2912 2938 3164 3616 4368 4407 4746 5424 5824 5876 6328 7232 8736 8814 9492 10283 10848 11752 12656 17472 17628 18984 20566 21696 23504 25312 30849 35256 37968 41132 47008 50624 61698 70512 75936 82264 94016 123396 141024 151872 164528 246792 282048 329056 493584 658112 987168 1974336