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1336338 = 23473113
BaseRepresentation
bin101000110010000010010
32111220010000
411012100102
5320230323
644350430
714234013
oct5062022
92456100
101336338
11833013
12545416
1337a343
1426b00a
151b5e43
hex146412

1336338 has 40 divisors (see below), whose sum is σ = 3062268. Its totient is φ = 435456.

The previous prime is 1336337. The next prime is 1336339. The reversal of 1336338 is 8336331.

It is an interprime number because it is at equal distance from previous prime (1336337) and next prime (1336339).

It can be written as a sum of positive squares in 2 ways, for example, as 1225449 + 110889 = 1107^2 + 333^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

1336338 is a Rhonda number in base 12.

It is not an unprimeable number, because it can be changed into a prime (1336333) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11770 + ... + 11882.

21336338 is an apocalyptic number.

1336338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531134).

1336338 is an abundant number, since it is smaller than the sum of its proper divisors (1725930).

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

1336338 is a wasteful number, since it uses less digits than its factorization.

1336338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

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

The square root of 1336338 is about 1156.0008650516. Note that the first 3 decimals coincide. The cubic root of 1336338 is about 110.1468561931.

1336338 divided by its sum of digits (27) gives a palindrome (49494).

The spelling of 1336338 in words is "one million, three hundred thirty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 81 113 146 162 219 226 339 438 657 678 1017 1314 1971 2034 3051 3942 5913 6102 8249 9153 11826 16498 18306 24747 49494 74241 148482 222723 445446 668169 1336338