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240213472 = 2523378821
BaseRepresentation
bin11100101000101…
…01110111100000
3121202000002221021
432110111313200
5442443312342
635500335224
75644531552
oct1624256740
9552002837
10240213472
11113659a34
1268544514
133a9c7065
1423c8d4d2
151614e567
hexe515de0

240213472 has 48 divisors (see below), whose sum is σ = 506876832. Its totient is φ = 111767040.

The previous prime is 240213469. The next prime is 240213499. The reversal of 240213472 is 274312042.

It is a happy number.

240213472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22822 + ... + 31642.

It is an arithmetic number, because the mean of its divisors is an integer number (10559934).

Almost surely, 2240213472 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 240213472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253438416).

240213472 is an abundant number, since it is smaller than the sum of its proper divisors (266663360).

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

240213472 is a wasteful number, since it uses less digits than its factorization.

240213472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 240213472 is about 15498.8216326274. The cubic root of 240213472 is about 621.6306985717.

The spelling of 240213472 in words is "two hundred forty million, two hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 592 736 851 1184 1702 3404 6808 8821 13616 17642 27232 35284 70568 141136 202883 282272 326377 405766 652754 811532 1305508 1623064 2611016 3246128 5222032 6492256 7506671 10444064 15013342 30026684 60053368 120106736 240213472