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354042 = 232131789
BaseRepresentation
bin1010110011011111010
3122222122200
41112123322
542312132
611331030
73003123
oct1263372
9588580
10354042
11221aa7
12150a76
13c51c0
149304a
156ed7c
hex566fa

354042 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 101376.

The previous prime is 354041. The next prime is 354043. The reversal of 354042 is 240453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354041) and next prime (354043).

It can be written as a sum of positive squares in 4 ways, for example, as 239121 + 114921 = 489^2 + 339^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 354042.

It is not an unprimeable number, because it can be changed into a prime (354041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934 + ... + 4022.

2354042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

354042 is an abundant number, since it is smaller than the sum of its proper divisors (530478).

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

354042 is a wasteful number, since it uses less digits than its factorization.

354042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 354042 is about 595.0142855428. The cubic root of 354042 is about 70.7432370849.

Adding to 354042 its reverse (240453), we get a palindrome (594495).

It can be divided in two parts, 3 and 54042, that added together give a palindrome (54045).

The spelling of 354042 in words is "three hundred fifty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 89 102 117 153 178 221 234 267 306 442 534 663 801 1157 1326 1513 1602 1989 2314 3026 3471 3978 4539 6942 9078 10413 13617 19669 20826 27234 39338 59007 118014 177021 354042