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240144380 = 2257172341107
BaseRepresentation
bin11100101000001…
…00111111111100
3121201212121011022
432110010333330
5442434110010
635455043312
75644123250
oct1624047774
9551777138
10240144380
11113612033
1268510538
133a9a1788
1423c72260
1516138d55
hexe504ffc

240144380 has 192 divisors, whose sum is σ = 658409472. Its totient is φ = 71639040.

The previous prime is 240144371. The next prime is 240144391. The reversal of 240144380 is 83441042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2244287 + ... + 2244393.

It is an arithmetic number, because the mean of its divisors is an integer number (3429216).

Almost surely, 2240144380 is an apocalyptic number.

240144380 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 240144380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329204736).

240144380 is an abundant number, since it is smaller than the sum of its proper divisors (418265092).

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

240144380 is a wasteful number, since it uses less digits than its factorization.

240144380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 240144380 is about 15496.5925286819. The cubic root of 240144380 is about 621.5710934958.

The spelling of 240144380 in words is "two hundred forty million, one hundred forty-four thousand, three hundred eighty".