Search a number
-
+
354220542 = 232135925657
BaseRepresentation
bin10101000111001…
…111100111111110
3220200112021020100
4111013033213332
51211140024132
655052101530
711530552644
oct2507174776
9820467210
10354220542
11171a48155
129a7648a6
1358503270
1435089194
152116e37c
hex151cf9fe

354220542 has 48 divisors (see below), whose sum is σ = 840556080. Its totient is φ = 107139456.

The previous prime is 354220523. The next prime is 354220547. The reversal of 354220542 is 245022453.

It is a happy number.

It is a super-3 number, since 3×3542205423 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354220547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (17511585).

Almost surely, 2354220542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354220542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420278040).

354220542 is an abundant number, since it is smaller than the sum of its proper divisors (486335538).

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

354220542 is a wasteful number, since it uses less digits than its factorization.

354220542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25737 (or 25734 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 354220542 is about 18820.7476472110. The cubic root of 354220542 is about 707.5512693267.

Adding to 354220542 its reverse (245022453), we get a palindrome (599242995).

The spelling of 354220542 in words is "three hundred fifty-four million, two hundred twenty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4602 6903 13806 25657 51314 76971 153942 230913 333541 461826 667082 1000623 1513763 2001246 3001869 3027526 4541289 6003738 9082578 13623867 19678919 27247734 39357838 59036757 118073514 177110271 354220542