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242346500 = 225311139317
BaseRepresentation
bin11100111000111…
…10101000000100
3121220000110220022
432130132220010
5444020042000
640014154312
76001624364
oct1634365004
9556013808
10242346500
11114886570
12691b2998
133b292bc6
14242869a4
1516421585
hexe71ea04

242346500 has 96 divisors (see below), whose sum is σ = 583390080. Its totient is φ = 87216000.

The previous prime is 242346493. The next prime is 242346541. The reversal of 242346500 is 5643242.

It is a self number, because there is not a number n which added to its sum of digits gives 242346500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764342 + ... + 764658.

It is an arithmetic number, because the mean of its divisors is an integer number (6076980).

Almost surely, 2242346500 is an apocalyptic number.

242346500 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 242346500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695040).

242346500 is an abundant number, since it is smaller than the sum of its proper divisors (341043580).

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

242346500 is a wasteful number, since it uses less digits than its factorization.

242346500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 242346500 is about 15567.4821342438. The cubic root of 242346500 is about 623.4652476747.

Adding to 242346500 its reverse (5643242), we get a palindrome (247989742).

The spelling of 242346500 in words is "two hundred forty-two million, three hundred forty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 139 220 250 275 278 317 500 550 556 634 695 1100 1268 1375 1390 1529 1585 2750 2780 3058 3170 3475 3487 5500 6116 6340 6950 6974 7645 7925 13900 13948 15290 15850 17375 17435 30580 31700 34750 34870 38225 39625 44063 69500 69740 76450 79250 87175 88126 152900 158500 174350 176252 191125 220315 348700 382250 435875 440630 484693 764500 871750 881260 969386 1101575 1743500 1938772 2203150 2423465 4406300 4846930 5507875 9693860 11015750 12117325 22031500 24234650 48469300 60586625 121173250 242346500