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240434220 = 223513308249
BaseRepresentation
bin11100101010010…
…11110000101100
3121202102022202010
432111023300230
5443022343340
635505201220
75646441255
oct1625136054
9552368663
10240434220
1111379a874
1268630210
133aa73690
1423d09b2c
1516194b80
hexe54bc2c

240434220 has 48 divisors (see below), whose sum is σ = 725004000. Its totient is φ = 59183616.

The previous prime is 240434219. The next prime is 240434221. The reversal of 240434220 is 22434042.

240434220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240434219) and next prime (240434221).

It is a super-2 number, since 2×2404342202 = 115617228294016800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240434221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153345 + ... + 154904.

It is an arithmetic number, because the mean of its divisors is an integer number (15104250).

Almost surely, 2240434220 is an apocalyptic number.

240434220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240434220 is an abundant number, since it is smaller than the sum of its proper divisors (484569780).

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

240434220 is a wasteful number, since it uses less digits than its factorization.

240434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308274 (or 308272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 240434220 is about 15505.9414419119. The cubic root of 240434220 is about 621.8210594191.

Adding to 240434220 its reverse (22434042), we get a palindrome (262868262).

The spelling of 240434220 in words is "two hundred forty million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 308249 616498 924747 1232996 1541245 1849494 3082490 3698988 4007237 4623735 6164980 8014474 9247470 12021711 16028948 18494940 20036185 24043422 40072370 48086844 60108555 80144740 120217110 240434220