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240957468 = 223219379521
BaseRepresentation
bin11100101110010…
…11100000011100
3121210101220111200
432113023200130
5443141114333
635524315500
75654050623
oct1627134034
9553356450
10240957468
11114017a04
1268842b90
133abc78ab
14240046ba
1516249c13
hexe5cb81c

240957468 has 72 divisors (see below), whose sum is σ = 658541520. Its totient is φ = 74027520.

The previous prime is 240957467. The next prime is 240957469. The reversal of 240957468 is 864759042.

It is a happy number.

240957468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240957467) and next prime (240957469).

It is a super-3 number, since 3×2409574683 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240957463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20548 + ... + 30068.

It is an arithmetic number, because the mean of its divisors is an integer number (9146410).

Almost surely, 2240957468 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 240957468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329270760).

240957468 is an abundant number, since it is smaller than the sum of its proper divisors (417584052).

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

240957468 is a wasteful number, since it uses less digits than its factorization.

240957468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 240957468 is about 15522.8047723342. The cubic root of 240957468 is about 622.2718145611.

The spelling of 240957468 in words is "two hundred forty million, nine hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 9521 12654 19042 25308 28563 38084 57126 85689 114252 171378 180899 342756 352277 361798 542697 704554 723596 1056831 1085394 1409108 1628091 2113662 2170788 3170493 3256182 4227324 6340986 6512364 6693263 12681972 13386526 20079789 26773052 40159578 60239367 80319156 120478734 240957468