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240545004 = 223714919219
BaseRepresentation
bin11100101011001…
…10110011101100
3121202121221201020
432111212303230
5443034420004
635511414140
75650412250
oct1625466354
9552557636
10240545004
11113866027
1268684350
133aab1c2b
1423d38260
15161b78d9
hexe566cec

240545004 has 48 divisors (see below), whose sum is σ = 645792000. Its totient is φ = 68262336.

The previous prime is 240545003. The next prime is 240545023. The reversal of 240545004 is 400545042.

It is not an unprimeable number, because it can be changed into a prime (240545003) 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, 2907 + ... + 22125.

It is an arithmetic number, because the mean of its divisors is an integer number (13454000).

Almost surely, 2240545004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240545004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322896000).

240545004 is an abundant number, since it is smaller than the sum of its proper divisors (405246996).

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

240545004 is a wasteful number, since it uses less digits than its factorization.

240545004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19382 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 240545004 is about 15509.5133385932. The cubic root of 240545004 is about 621.9165494961.

The spelling of 240545004 in words is "two hundred forty million, five hundred forty-five thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 19219 38438 57657 76876 115314 134533 230628 269066 403599 538132 807198 1614396 2863631 5727262 8590893 11454524 17181786 20045417 34363572 40090834 60136251 80181668 120272502 240545004