Search a number
-
+
342731169 = 34114172
BaseRepresentation
bin10100011011011…
…010100110100001
3212212220112210000
4110123122212201
51200214344134
654001530213
711331111144
oct2433324641
9785815700
10342731169
11166510000
1296943969
135600c811
143373805b
152014ee99
hex146da9a1

342731169 has 75 divisors (see below), whose sum is σ = 598252435. Its totient is φ = 195497280.

The previous prime is 342731159. The next prime is 342731189. The reversal of 342731169 is 961137243.

The square root of 342731169 is 18513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 266832225 + 75898944 = 16335^2 + 8712^2 .

It is not a de Polignac number, because 342731169 - 27 = 342731041 is a prime.

It is a super-2 number, since 2×3427311692 = 234929308408213122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (342731149) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 20160649 + ... + 20160665.

Almost surely, 2342731169 is an apocalyptic number.

342731169 is the 18513-rd square number.

342731169 is the 9257-th centered octagonal number.

It is an amenable number.

342731169 is a deficient number, since it is larger than the sum of its proper divisors (255521266).

342731169 is an frugal number, since it uses more digits than its factorization.

342731169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 31 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 342731169 is about 699.8170739701.

Multiplying 342731169 by its sum of digits (36), we get a square (12338322084 = 1110782).

It can be divided in two parts, 3427 and 31169, that added together give a square (34596 = 1862).

The spelling of 342731169 in words is "three hundred forty-two million, seven hundred thirty-one thousand, one hundred sixty-nine".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 289 297 363 459 561 867 891 1089 1331 1377 1683 2057 2601 3179 3267 3993 5049 6171 7803 9537 9801 11979 14641 15147 18513 22627 23409 28611 34969 35937 43923 55539 67881 85833 104907 107811 131769 166617 203643 248897 257499 314721 384659 395307 610929 746691 944163 1153977 1185921 1832787 2240073 2832489 3461931 4231249 6720219 10385793 12693747 20160657 31157379 38081241 114243723 342731169