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1938336 = 25361331
BaseRepresentation
bin111011001001110100000
310122110220020
413121032200
5444011321
6105313440
722322061
oct7311640
93573806
101938336
111104334
12795880
1352b35a
14386568
152844c6
hex1d93a0

1938336 has 48 divisors (see below), whose sum is σ = 5187168. Its totient is φ = 633600.

The previous prime is 1938317. The next prime is 1938359. The reversal of 1938336 is 6338391.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1938297 and 1938306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5691 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (108066).

21938336 is an apocalyptic number.

1938336 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 1938336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593584).

1938336 is an abundant number, since it is smaller than the sum of its proper divisors (3248832).

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

1938336 is a wasteful number, since it uses less digits than its factorization.

1938336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 1938336 is about 1392.2413583858. The cubic root of 1938336 is about 124.6837016512.

The spelling of 1938336 in words is "one million, nine hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 331 366 488 662 732 976 993 1324 1464 1952 1986 2648 2928 3972 5296 5856 7944 10592 15888 20191 31776 40382 60573 80764 121146 161528 242292 323056 484584 646112 969168 1938336