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341688 = 23323619
BaseRepresentation
bin1010011011010111000
3122100201010
41103122320
541413223
611153520
72622114
oct1233270
9570633
10341688
11213796
121458a0
13bc6a9
148c744
156b393
hex536b8

341688 has 32 divisors (see below), whose sum is σ = 892800. Its totient is φ = 108768.

The previous prime is 341687. The next prime is 341701. The reversal of 341688 is 886143.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 341688.

It is not an unprimeable number, because it can be changed into a prime (341681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2341688 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 341688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

341688 is an abundant number, since it is smaller than the sum of its proper divisors (551112).

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

341688 is a wasteful number, since it uses less digits than its factorization.

341688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 341688 is about 584.5408454505. The cubic root of 341688 is about 69.9106342588.

The spelling of 341688 in words is "three hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 619 1238 1857 2476 3714 4952 7428 14237 14856 28474 42711 56948 85422 113896 170844 341688