Search a number
-
+
336768 = 273877
BaseRepresentation
bin1010010001110000000
3122002221220
41102032000
541234033
611115040
72601555
oct1221600
9562856
10336768
11210023
12142a80
13ba393
148aa2c
1569bb3
hex52380

336768 has 32 divisors (see below), whose sum is σ = 895560. Its totient is φ = 112128.

The previous prime is 336767. The next prime is 336769. The reversal of 336768 is 867633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (336767) and next prime (336769).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3367682 = 226825371648, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336768.

It is not an unprimeable number, because it can be changed into a prime (336761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 822.

2336768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447780).

336768 is an abundant number, since it is smaller than the sum of its proper divisors (558792).

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

336768 is an equidigital number, since it uses as much as digits as its factorization.

336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 336768 is about 580.3171546663. The cubic root of 336768 is about 69.5734606174.

The spelling of 336768 in words is "three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 877 1754 2631 3508 5262 7016 10524 14032 21048 28064 42096 56128 84192 112256 168384 336768