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353934 = 2327532
BaseRepresentation
bin1010110011010001110
3122222111200
41112122032
542311214
611330330
73002610
oct1263216
9588450
10353934
11221a09
121509a6
13c5139
1492db0
156ed09
hex5668e

353934 has 36 divisors (see below), whose sum is σ = 893256. Its totient is φ = 99216.

The previous prime is 353929. The next prime is 353939. The reversal of 353934 is 439353.

It is an interprime number because it is at equal distance from previous prime (353929) and next prime (353939).

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 353898 and 353907.

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 353934.

It is not an unprimeable number, because it can be changed into a prime (353939) by changing a digit.

353934 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 17 ways as a sum of consecutive naturals, for example, 6652 + ... + 6704.

2353934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446628).

353934 is an abundant number, since it is smaller than the sum of its proper divisors (539322).

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

353934 is a wasteful number, since it uses less digits than its factorization.

353934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 353934 is about 594.9235244971. The cubic root of 353934 is about 70.7360429793.

It can be divided in two parts, 35 and 3934, that added together give a square (3969 = 632).

The spelling of 353934 in words is "three hundred fifty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 2809 3339 5618 6678 8427 16854 19663 25281 39326 50562 58989 117978 176967 353934