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343128 = 23317292
BaseRepresentation
bin1010011110001011000
3122102200110
41103301120
541440003
611204320
72626242
oct1236130
9572613
10343128
11214885
121466a0
13c0246
148d092
156ba03
hex53c58

343128 has 48 divisors (see below), whose sum is σ = 940680. Its totient is φ = 103936.

The previous prime is 343127. The next prime is 343141. The reversal of 343128 is 821343.

It is a happy number.

343128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 343128.

It is not an unprimeable number, because it can be changed into a prime (343127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11818 + ... + 11846.

2343128 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 343128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470340).

343128 is an abundant number, since it is smaller than the sum of its proper divisors (597552).

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

343128 is a wasteful number, since it uses less digits than its factorization.

343128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 343128 is about 585.7712864250. The cubic root of 343128 is about 70.0087064001.

The spelling of 343128 in words is "three hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 841 986 1479 1682 1972 2523 2958 3364 3944 5046 5916 6728 10092 11832 14297 20184 28594 42891 57188 85782 114376 171564 343128