Search a number
-
+
1336392 = 233323269
BaseRepresentation
bin101000110010001001000
32111220012000
411012101020
5320231032
644351000
714234121
oct5062110
92456160
101336392
11833062
12545460
1337a385
1426b048
151b5e7c
hex146448

1336392 has 64 divisors (see below), whose sum is σ = 3888000. Its totient is φ = 424512.

The previous prime is 1336343. The next prime is 1336393. The reversal of 1336392 is 2936331.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336393) 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 15 ways as a sum of consecutive naturals, for example, 4834 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

21336392 is an apocalyptic number.

1336392 is a gapful number since it is divisible by the number (12) 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 1336392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944000).

1336392 is an abundant number, since it is smaller than the sum of its proper divisors (2551608).

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

1336392 is a wasteful number, since it uses less digits than its factorization.

1336392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 1336392 is about 1156.0242211995. The cubic root of 1336392 is about 110.1483398123.

It can be divided in two parts, 1336 and 392, that added together give a cube (1728 = 123).

The spelling of 1336392 in words is "one million, three hundred thirty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 269 276 414 538 552 621 807 828 1076 1242 1614 1656 2152 2421 2484 3228 4842 4968 6187 6456 7263 9684 12374 14526 18561 19368 24748 29052 37122 49496 55683 58104 74244 111366 148488 167049 222732 334098 445464 668196 1336392