Search a number
-
+
242311398 = 23761271349
BaseRepresentation
bin11100111000101…
…10000011100110
3121212221200202020
432130112003212
5444012431043
640013324010
76001420140
oct1634260346
9555850666
10242311398
1111486215a
1269196606
133b27cc34
1424277c90
1516415e83
hexe7160e6

242311398 has 64 divisors (see below), whose sum is σ = 566630400. Its totient is φ = 67651200.

The previous prime is 242311357. The next prime is 242311403. The reversal of 242311398 is 893113242.

242311398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694128 + ... + 694476.

It is an arithmetic number, because the mean of its divisors is an integer number (8853600).

Almost surely, 2242311398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242311398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283315200).

242311398 is an abundant number, since it is smaller than the sum of its proper divisors (324319002).

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

242311398 is a wasteful number, since it uses less digits than its factorization.

242311398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693.

The product of its digits is 10368, while the sum is 33.

The square root of 242311398 is about 15566.3546792433. The cubic root of 242311398 is about 623.4351448621.

The spelling of 242311398 in words is "two hundred forty-two million, three hundred eleven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 271 349 366 427 542 698 813 854 1047 1281 1626 1897 2094 2443 2562 3794 4886 5691 7329 11382 14658 16531 21289 33062 42578 49593 63867 94579 99186 115717 127734 149023 189158 231434 283737 298046 347151 447069 567474 662053 694302 894138 1324106 1986159 3972318 5769319 11538638 17307957 34615914 40385233 80770466 121155699 242311398