Search a number
-
+
354032 = 24729109
BaseRepresentation
bin1010110011011110000
3122222122022
41112123300
542312112
611331012
73003110
oct1263360
9588568
10354032
11221a98
12150a68
13c51b3
1493040
156ed72
hex566f0

354032 has 40 divisors (see below), whose sum is σ = 818400. Its totient is φ = 145152.

The previous prime is 354031. The next prime is 354037. The reversal of 354032 is 230453.

Adding to 354032 its reverse (230453), we get a palindrome (584485).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 354032.

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 354032.

It is not an unprimeable number, because it can be changed into a prime (354031) 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, 3194 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (20460).

2354032 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 354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409200).

354032 is an abundant number, since it is smaller than the sum of its proper divisors (464368).

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

354032 is a wasteful number, since it uses less digits than its factorization.

354032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 354032 is about 595.0058823239. The cubic root of 354032 is about 70.7425710255.

The spelling of 354032 in words is "three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 109 112 116 203 218 232 406 436 464 763 812 872 1526 1624 1744 3052 3161 3248 6104 6322 12208 12644 22127 25288 44254 50576 88508 177016 354032