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242551340 = 225192512543
BaseRepresentation
bin11100111010100…
…00101000101100
3121220101212212222
432131100220230
5444043120330
640022414512
76003436523
oct1635205054
9556355788
10242551340
11114a06459
1269291438
133b335205
14242db4ba
15164620e5
hexe750a2c

242551340 has 48 divisors (see below), whose sum is σ = 538513920. Its totient is φ = 91512000.

The previous prime is 242551339. The next prime is 242551357. The reversal of 242551340 is 43155242.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 94109 + ... + 96651.

It is an arithmetic number, because the mean of its divisors is an integer number (11219040).

Almost surely, 2242551340 is an apocalyptic number.

242551340 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 242551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269256960).

242551340 is an abundant number, since it is smaller than the sum of its proper divisors (295962580).

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

242551340 is a wasteful number, since it uses less digits than its factorization.

242551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 242551340 is about 15574.0598432137. The cubic root of 242551340 is about 623.6408566427.

It can be divided in two parts, 242 and 551340, that multiplied together give a triangular number (133424280 = T16335).

The spelling of 242551340 in words is "two hundred forty-two million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 380 502 1004 1255 2510 2543 4769 5020 5086 9538 10172 12715 19076 23845 25430 47690 48317 50860 95380 96634 193268 241585 483170 638293 966340 1276586 2553172 3191465 6382930 12127567 12765860 24255134 48510268 60637835 121275670 242551340