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240421344 = 25317179823
BaseRepresentation
bin11100101010010…
…00100111100000
3121202101200002020
432111020213200
5443021440334
635505021440
75646355602
oct1625104740
9552350066
10240421344
11113791129
1268624880
133aa6a867
1423d05172
1516190e49
hexe5489e0

240421344 has 96 divisors (see below), whose sum is σ = 672779520. Its totient is φ = 74913792.

The previous prime is 240421331. The next prime is 240421351. The reversal of 240421344 is 443124042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 291717 + ... + 292539.

It is an arithmetic number, because the mean of its divisors is an integer number (7008120).

Almost surely, 2240421344 is an apocalyptic number.

240421344 is a gapful number since it is divisible by the number (24) 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 240421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336389760).

240421344 is an abundant number, since it is smaller than the sum of its proper divisors (432358176).

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

240421344 is a wasteful number, since it uses less digits than its factorization.

240421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 240421344 is about 15505.5262406666. The cubic root of 240421344 is about 621.8099590706.

Adding to 240421344 its reverse (443124042), we get a palindrome (683545386).

The spelling of 240421344 in words is "two hundred forty million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 179 204 272 358 408 537 544 716 816 823 1074 1432 1632 1646 2148 2469 2864 3043 3292 4296 4938 5728 6086 6584 8592 9129 9876 12172 13168 13991 17184 18258 19752 24344 26336 27982 36516 39504 41973 48688 55964 73032 79008 83946 97376 111928 146064 147317 167892 223856 292128 294634 335784 441951 447712 589268 671568 883902 1178536 1343136 1767804 2357072 2504389 3535608 4714144 5008778 7071216 7513167 10017556 14142432 15026334 20035112 30052668 40070224 60105336 80140448 120210672 240421344