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354348 = 223317193
BaseRepresentation
bin1010110100000101100
3200000002000
41112200230
542314343
611332300
73004041
oct1264054
9600060
10354348
11222255
12151090
13c5397
14931c8
156eed3
hex5682c

354348 has 48 divisors (see below), whose sum is σ = 977760. Its totient is φ = 110592.

The previous prime is 354337. The next prime is 354353. The reversal of 354348 is 843453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (20370).

354348 is a Friedman number, since it can be written as 54*(4+3^8-3), using all its digits and the basic arithmetic operations.

2354348 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 354348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488880).

354348 is an abundant number, since it is smaller than the sum of its proper divisors (623412).

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

354348 is a wasteful number, since it uses less digits than its factorization.

354348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 354348 is about 595.2713666892. The cubic root of 354348 is about 70.7636124423.

The spelling of 354348 in words is "three hundred fifty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 193 204 306 386 459 579 612 772 918 1158 1737 1836 2316 3281 3474 5211 6562 6948 9843 10422 13124 19686 20844 29529 39372 59058 88587 118116 177174 354348