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343938 = 23719431
BaseRepresentation
bin1010011111110000010
3122110210110
41103332002
542001223
611212150
72631510
oct1237602
9573713
10343938
11215451
12147056
13c071a
148d4b0
156bd93
hex53f82

343938 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 92880.

The previous prime is 343933. The next prime is 343939. The reversal of 343938 is 839343.

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. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (343933) by changing a digit.

343938 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 15 ways as a sum of consecutive naturals, for example, 583 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2343938 is an apocalyptic number.

343938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

343938 is an abundant number, since it is smaller than the sum of its proper divisors (485502).

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

343938 is a wasteful number, since it uses less digits than its factorization.

343938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its digits is 7776, while the sum is 30.

The square root of 343938 is about 586.4622750016. The cubic root of 343938 is about 70.0637514455.

The spelling of 343938 in words is "three hundred forty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 431 798 862 1293 2586 3017 6034 8189 9051 16378 18102 24567 49134 57323 114646 171969 343938