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242420320 = 2551977691
BaseRepresentation
bin11100111001100…
…00101001100000
3121220011020011101
432130300221200
5444024422240
640015524144
76002352532
oct1634605140
9556136141
10242420320
11114926a7a
1269229654
133b2ba69c
14242a5852
151643839a
hexe730a60

242420320 has 48 divisors (see below), whose sum is σ = 575700048. Its totient is φ = 96463360.

The previous prime is 242420317. The next prime is 242420333. The reversal of 242420320 is 23024242.

It is a super-2 number, since 2×2424203202 = 117535223097804800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27675 + ... + 35365.

It is an arithmetic number, because the mean of its divisors is an integer number (11993751).

Almost surely, 2242420320 is an apocalyptic number.

242420320 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 242420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287850024).

242420320 is an abundant number, since it is smaller than the sum of its proper divisors (333279728).

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

242420320 is a wasteful number, since it uses less digits than its factorization.

242420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242420320 is about 15569.8529215918. The cubic root of 242420320 is about 623.5285448302.

Adding to 242420320 its reverse (23024242), we get a palindrome (265444562).

The spelling of 242420320 in words is "two hundred forty-two million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 985 1576 1970 3152 3940 6304 7691 7880 15382 15760 30764 31520 38455 61528 76910 123056 153820 246112 307640 615280 1230560 1515127 3030254 6060508 7575635 12121016 15151270 24242032 30302540 48484064 60605080 121210160 242420320