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240324864 = 2831324071
BaseRepresentation
bin11100101001100…
…01000100000000
3121202012202201220
432110301010000
5443010343424
635502555040
75645504403
oct1624610400
9552182656
10240324864
1111372569a
1268598a80
133aa35980
1423cbbd3a
1516172579
hexe531100

240324864 has 72 divisors (see below), whose sum is σ = 688844352. Its totient is φ = 73943040.

The previous prime is 240324841. The next prime is 240324881. The reversal of 240324864 is 468423042.

It is a nialpdrome in base 16.

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, 2052 + ... + 22019.

Almost surely, 2240324864 is an apocalyptic number.

240324864 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 240324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344422176).

240324864 is an abundant number, since it is smaller than the sum of its proper divisors (448519488).

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

240324864 is a wasteful number, since it uses less digits than its factorization.

240324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24103 (or 24089 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 240324864 is about 15502.4147796400. The cubic root of 240324864 is about 621.7267714322.

The spelling of 240324864 in words is "two hundred forty million, three hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 24071 48142 72213 96284 144426 192568 288852 312923 385136 577704 625846 770272 938769 1155408 1251692 1540544 1877538 2310816 2503384 3081088 3755076 4621632 5006768 6162176 7510152 9243264 10013536 15020304 18486528 20027072 30040608 40054144 60081216 80108288 120162432 240324864