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240601003380 = 223251336672241
BaseRepresentation
bin1110000000010011101…
…1111111010101110100
3212000000220020100122100
43200010323333111310
512420222324102010
6302310334302100
723245213533153
oct3400473772564
9760026210570
10240601003380
1193046aa2a51
123a768957930
13198c4a5bc2a
14b90641759a
1563d2ac62c0
hex3804eff574

240601003380 has 36 divisors (see below), whose sum is σ = 729823044132. Its totient is φ = 64160267520.

The previous prime is 240601003361. The next prime is 240601003381. The reversal of 240601003380 is 83300106042.

It is a happy number.

240601003380 is a `hidden beast` number, since 24 + 0 + 601 + 0 + 0 + 3 + 38 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183110391396 + 57490611984 = 427914^2 + 239772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240601003381) 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, 668335941 + ... + 668336300.

It is an arithmetic number, because the mean of its divisors is an integer number (20272862337).

Almost surely, 2240601003380 is an apocalyptic number.

240601003380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240601003380 is an abundant number, since it is smaller than the sum of its proper divisors (489222040752).

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

240601003380 is a wasteful number, since it uses less digits than its factorization.

240601003380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336672256 (or 1336672251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 240601003380 in words is "two hundred forty billion, six hundred one million, three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1336672241 2673344482 4010016723 5346688964 6683361205 8020033446 12030050169 13366722410 16040066892 20050083615 24060100338 26733444820 40100167230 48120200676 60150250845 80200334460 120300501690 240601003380