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242010340 = 2251113372287
BaseRepresentation
bin11100110110011…
…00100011100100
3121212101101202221
432123030203210
5443423312330
640003042124
75666024335
oct1633144344
9555341687
10242010340
11114676a50
1269070344
133b1a5bb0
14241da28c
15163a6b7a
hexe6cc8e4

242010340 has 96 divisors (see below), whose sum is σ = 613476864. Its totient is φ = 79004160.

The previous prime is 242010287. The next prime is 242010383. The reversal of 242010340 is 43010242.

242010340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 104677 + ... + 106963.

It is an arithmetic number, because the mean of its divisors is an integer number (6390384).

Almost surely, 2242010340 is an apocalyptic number.

242010340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306738432).

242010340 is an abundant number, since it is smaller than the sum of its proper divisors (371466524).

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

242010340 is a wasteful number, since it uses less digits than its factorization.

242010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242010340 is about 15556.6815227413. The cubic root of 242010340 is about 623.1768437332.

Adding to 242010340 its reverse (43010242), we get a palindrome (285020582).

The spelling of 242010340 in words is "two hundred forty-two million, ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1430 1628 1924 2035 2287 2405 2860 4070 4574 4810 5291 8140 9148 9620 10582 11435 21164 22870 25157 26455 29731 45740 50314 52910 59462 84619 100628 105820 118924 125785 148655 169238 251570 297310 327041 338476 423095 503140 594620 654082 846190 930809 1100047 1308164 1635205 1692380 1861618 2200094 3270410 3723236 4400188 4654045 5500235 6540820 9308090 11000470 12100517 18616180 22000940 24201034 48402068 60502585 121005170 242010340