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240421632 = 28311149191
BaseRepresentation
bin11100101010010…
…00101100000000
3121202101200110220
432111020230000
5443021443012
635505023040
75646356463
oct1625105400
9552350426
10240421632
11113791370
1268624a80
133aa6aa29
1423d052da
151619108c
hexe548b00

240421632 has 144 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 71987200.

The previous prime is 240421613. The next prime is 240421669. The reversal of 240421632 is 236124042.

240421632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2404216322 = 115605122267086848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258657 + ... + 1258847.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2240421632 is an apocalyptic number.

240421632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

240421632 is an abundant number, since it is smaller than the sum of its proper divisors (465984768).

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

240421632 is a wasteful number, since it uses less digits than its factorization.

240421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 240421632 is about 15505.5355276753. The cubic root of 240421632 is about 621.8102073586.

Adding to 240421632 its reverse (236124042), we get a palindrome (476545674).

The spelling of 240421632 in words is "two hundred forty million, four hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 191 192 256 264 298 352 382 384 447 528 573 596 704 764 768 894 1056 1146 1192 1408 1528 1639 1788 2101 2112 2292 2384 2816 3056 3278 3576 4202 4224 4584 4768 4917 6112 6303 6556 7152 8404 8448 9168 9536 9834 12224 12606 13112 14304 16808 18336 19072 19668 24448 25212 26224 28459 28608 33616 36672 38144 39336 48896 50424 52448 56918 57216 67232 73344 78672 85377 100848 104896 113836 114432 134464 146688 157344 170754 201696 209792 227672 268928 313049 314688 341508 403392 419584 455344 537856 626098 629376 683016 806784 910688 939147 1252196 1258752 1366032 1613568 1821376 1878294 2504392 2732064 3642752 3756588 5008784 5464128 7285504 7513176 10017568 10928256 15026352 20035136 21856512 30052704 40070272 60105408 80140544 120210816 240421632