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343896 = 23372389
BaseRepresentation
bin1010011111101011000
3122110201220
41103331120
542001041
611212040
72631420
oct1237530
9573656
10343896
11215413
12147020
13c06b7
148d480
156bd66
hex53f58

343896 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 92928.

The previous prime is 343891. The next prime is 343897. The reversal of 343896 is 698343.

It is an alternating number because its digits alternate between odd and even.

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 343896.

It is not an unprimeable number, because it can be changed into a prime (343891) 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 15 ways as a sum of consecutive naturals, for example, 3820 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2343896 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 343896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

343896 is an abundant number, since it is smaller than the sum of its proper divisors (692904).

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

343896 is a wasteful number, since it uses less digits than its factorization.

343896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 343896 is about 586.4264659785. The cubic root of 343896 is about 70.0608993837.

The spelling of 343896 in words is "three hundred forty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 89 92 138 161 168 178 184 267 276 322 356 483 534 552 623 644 712 966 1068 1246 1288 1869 1932 2047 2136 2492 3738 3864 4094 4984 6141 7476 8188 12282 14329 14952 16376 24564 28658 42987 49128 57316 85974 114632 171948 343896