Search a number
-
+
336870 = 232519197
BaseRepresentation
bin1010010001111100110
3122010002200
41102033212
541234440
611115330
72602062
oct1221746
9563080
10336870
11210106
12142b46
13ba441
148aaa2
1569c30
hex523e6

336870 has 48 divisors (see below), whose sum is σ = 926640. Its totient is φ = 84672.

The previous prime is 336863. The next prime is 336871. The reversal of 336870 is 78633.

It is a happy number.

336870 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×3368702 = 226962793800, which contains 22 as substring.

It is a nialpdrome in base 13.

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 336870.

It is not an unprimeable number, because it can be changed into a prime (336871) by changing a digit.

336870 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1612 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2336870 is an apocalyptic number.

336870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 336870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463320).

336870 is an abundant number, since it is smaller than the sum of its proper divisors (589770).

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

336870 is a wasteful number, since it uses less digits than its factorization.

336870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 336870 is about 580.4050309913. The cubic root of 336870 is about 69.5804840248.

It can be divided in two parts, 33 and 6870, that added together give a triangular number (6903 = T117).

The spelling of 336870 in words is "three hundred thirty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 197 285 342 394 570 591 855 985 1182 1710 1773 1970 2955 3546 3743 5910 7486 8865 11229 17730 18715 22458 33687 37430 56145 67374 112290 168435 336870