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242355040 = 2551514719
BaseRepresentation
bin11100111001000…
…00101101100000
3121220000220121121
432130200231200
5444020330130
640014302024
76001661314
oct1634405540
9556026547
10242355040
11114891a24
12691b7914
133b296a65
1424289b44
1516423d7a
hexe720b60

242355040 has 24 divisors (see below), whose sum is σ = 572564160. Its totient is φ = 96941952.

The previous prime is 242355031. The next prime is 242355041. The reversal of 242355040 is 40553242.

It is a junction number, because it is equal to n+sod(n) for n = 242354996 and 242355014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242355041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 757200 + ... + 757519.

It is an arithmetic number, because the mean of its divisors is an integer number (23856840).

Almost surely, 2242355040 is an apocalyptic number.

242355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242355040 is an abundant number, since it is smaller than the sum of its proper divisors (330209120).

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

242355040 is a wasteful number, since it uses less digits than its factorization.

242355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514734 (or 1514726 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 242355040 is about 15567.7564215272. The cubic root of 242355040 is about 623.4725709778.

The spelling of 242355040 in words is "two hundred forty-two million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1514719 3029438 6058876 7573595 12117752 15147190 24235504 30294380 48471008 60588760 121177520 242355040