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242503344 = 24323834397
BaseRepresentation
bin11100111010001…
…00111010110000
3121220022110001100
432131010322300
5444040101334
640021404400
76003146556
oct1635047260
9556273040
10242503344
11114983396
1269269700
133b319405
14242c7bd6
1516452c99
hexe744eb0

242503344 has 60 divisors (see below), whose sum is σ = 680599296. Its totient is φ = 80605056.

The previous prime is 242503343. The next prime is 242503361. The reversal of 242503344 is 443305242.

242503344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242503343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52954 + ... + 57350.

Almost surely, 2242503344 is an apocalyptic number.

242503344 is a gapful number since it is divisible by the number (24) 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 242503344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340299648).

242503344 is an abundant number, since it is smaller than the sum of its proper divisors (438095952).

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

242503344 is a wasteful number, since it uses less digits than its factorization.

242503344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 242503344 is about 15572.5188713965. The cubic root of 242503344 is about 623.5997186290.

Adding to 242503344 its reverse (443305242), we get a palindrome (685808586).

The spelling of 242503344 in words is "two hundred forty-two million, five hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 766 1149 1532 2298 3064 3447 4397 4596 6128 6894 8794 9192 13191 13788 17588 18384 26382 27576 35176 39573 52764 55152 70352 79146 105528 158292 211056 316584 633168 1684051 3368102 5052153 6736204 10104306 13472408 15156459 20208612 26944816 30312918 40417224 60625836 80834448 121251672 242503344