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1363428 = 2232112313
BaseRepresentation
bin101001100110111100100
32120021021100
411030313210
5322112203
645120100
714406003
oct5146744
92507240
101363428
11851400
12559030
13389781
14276c3a
151bdea3
hex14cde4

1363428 has 54 divisors (see below), whose sum is σ = 3800342. Its totient is φ = 411840.

The previous prime is 1363409. The next prime is 1363429. The reversal of 1363428 is 8243631.

It is a happy number.

1363428 is a `hidden beast` number, since 1 + 3 + 634 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 736164 + 627264 = 858^2 + 792^2 .

It is a super-2 number, since 2×13634282 = 3717871822368, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4200 + ... + 4512.

21363428 is an apocalyptic number.

1363428 is a gapful number since it is divisible by the number (18) 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 1363428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900171).

1363428 is an abundant number, since it is smaller than the sum of its proper divisors (2436914).

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

1363428 is a wasteful number, since it uses less digits than its factorization.

1363428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

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

The square root of 1363428 is about 1167.6591968550. The cubic root of 1363428 is about 110.8861750151.

The spelling of 1363428 in words is "one million, three hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 313 363 396 484 626 726 939 1089 1252 1452 1878 2178 2817 3443 3756 4356 5634 6886 10329 11268 13772 20658 30987 37873 41316 61974 75746 113619 123948 151492 227238 340857 454476 681714 1363428