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242741440 = 2653592113
BaseRepresentation
bin11100111011111…
…11000011000000
3121220202112122201
432131333003000
5444120211230
640030442544
76005160664
oct1635770300
9556675581
10242741440
11115026267
1269363454
133b3a08b6
142434a8a4
151649d5ca
hexe77f0c0

242741440 has 56 divisors (see below), whose sum is σ = 579912480. Its totient is φ = 96780288.

The previous prime is 242741357. The next prime is 242741441. The reversal of 242741440 is 44147242.

It is a junction number, because it is equal to n+sod(n) for n = 242741399 and 242741408.

It is not an unprimeable number, because it can be changed into a prime (242741441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113824 + ... + 115936.

It is an arithmetic number, because the mean of its divisors is an integer number (10355580).

Almost surely, 2242741440 is an apocalyptic number.

242741440 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 242741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289956240).

242741440 is an abundant number, since it is smaller than the sum of its proper divisors (337171040).

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

242741440 is a wasteful number, since it uses less digits than its factorization.

242741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 242741440 is about 15580.1617449884. The cubic root of 242741440 is about 623.8037406023.

Adding to 242741440 its reverse (44147242), we get a palindrome (286888682).

The spelling of 242741440 in words is "two hundred forty-two million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 359 718 1436 1795 2113 2872 3590 4226 5744 7180 8452 10565 11488 14360 16904 21130 22976 28720 33808 42260 57440 67616 84520 114880 135232 169040 338080 676160 758567 1517134 3034268 3792835 6068536 7585670 12137072 15171340 24274144 30342680 48548288 60685360 121370720 242741440