Search a number
-
+
414441342 = 23277146327
BaseRepresentation
bin11000101100111…
…101111101111110
31001212211210122100
4120230331331332
51322044110332
6105042525530
713161456540
oct3054757576
91055753570
10414441342
111a2a39a07
12b69668a6
1367b29883
143d083690
15265b767c
hex18b3df7e

414441342 has 48 divisors (see below), whose sum is σ = 1040712192. Its totient is φ = 116741520.

The previous prime is 414441337. The next prime is 414441343. The reversal of 414441342 is 243144414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414441343) 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, 14218 + ... + 32109.

It is an arithmetic number, because the mean of its divisors is an integer number (21681504).

Almost surely, 2414441342 is an apocalyptic number.

414441342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414441342 is an abundant number, since it is smaller than the sum of its proper divisors (626270850).

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

414441342 is a wasteful number, since it uses less digits than its factorization.

414441342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46413 (or 46410 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 414441342 is about 20357.8324484705. The cubic root of 414441342 is about 745.5687394698.

Adding to 414441342 its reverse (243144414), we get a palindrome (657585756).

The spelling of 414441342 in words is "four hundred fourteen million, four hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4473 8946 46327 92654 138981 277962 324289 416943 648578 833886 972867 1945734 2918601 3289217 5837202 6578434 9867651 19735302 23024519 29602953 46049038 59205906 69073557 138147114 207220671 414441342