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242314410 = 235131953617
BaseRepresentation
bin11100111000101…
…10110010101010
3121212221211212210
432130112302222
5444013030120
640013345550
76001432002
oct1634266252
9555854783
10242314410
11114864448
12691982b6
133b281410
1424279002
1516416ce0
hexe716caa

242314410 has 128 divisors (see below), whose sum is σ = 672779520. Its totient is φ = 55351296.

The previous prime is 242314367. The next prime is 242314421. The reversal of 242314410 is 14413242.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392422 + ... + 393038.

It is an arithmetic number, because the mean of its divisors is an integer number (5256090).

Almost surely, 2242314410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242314410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336389760).

242314410 is an abundant number, since it is smaller than the sum of its proper divisors (430465110).

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

242314410 is a wasteful number, since it uses less digits than its factorization.

242314410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242314410 is about 15566.4514260637. The cubic root of 242314410 is about 623.4377280104.

Adding to 242314410 its reverse (14413242), we get a palindrome (256727652).

The spelling of 242314410 in words is "two hundred forty-two million, three hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 53 57 65 78 95 106 114 130 159 190 195 247 265 285 318 390 494 530 570 617 689 741 795 1007 1234 1235 1378 1482 1590 1851 2014 2067 2470 3021 3085 3445 3702 3705 4134 5035 6042 6170 6890 7410 8021 9255 10070 10335 11723 13091 15105 16042 18510 20670 23446 24063 26182 30210 32701 35169 39273 40105 48126 58615 65402 65455 70338 78546 80210 98103 117230 120315 130910 152399 163505 175845 196206 196365 240630 304798 327010 351690 392730 425113 457197 490515 621319 761995 850226 914394 981030 1242638 1275339 1523990 1863957 2125565 2285985 2550678 3106595 3727914 4251130 4571970 6213190 6376695 8077147 9319785 12753390 16154294 18639570 24231441 40385735 48462882 80771470 121157205 242314410