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240280074 = 23317475569
BaseRepresentation
bin11100101001001…
…10001000001010
3121202010111022000
432110212020022
5443002430244
635502011430
75645226666
oct1624461012
9552114260
10240280074
111136a4a81
1268576b76
133aa1b478
1423ca98a6
1516164169
hexe52620a

240280074 has 64 divisors (see below), whose sum is σ = 577497600. Its totient is φ = 73764864.

The previous prime is 240280013. The next prime is 240280081. The reversal of 240280074 is 470082042.

It is a super-2 number, since 2×2402800742 = 115469027922890952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40362 + ... + 45930.

It is an arithmetic number, because the mean of its divisors is an integer number (9023400).

Almost surely, 2240280074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240280074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288748800).

240280074 is an abundant number, since it is smaller than the sum of its proper divisors (337217526).

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

240280074 is a wasteful number, since it uses less digits than its factorization.

240280074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 240280074 is about 15500.9700986745. The cubic root of 240280074 is about 621.6881447281.

The spelling of 240280074 in words is "two hundred forty million, two hundred eighty thousand, seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 799 846 918 1269 1598 2397 2538 4794 5569 7191 11138 14382 16707 21573 33414 43146 50121 94673 100242 150363 189346 261743 284019 300726 523486 568038 785229 852057 1570458 1704114 2355687 2556171 4449631 4711374 5112342 7067061 8899262 13348893 14134122 26697786 40046679 80093358 120140037 240280074