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240344020 = 225722310663
BaseRepresentation
bin11100101001101…
…01101111010100
3121202020202000101
432110311233110
5443012002040
635503223444
75645614300
oct1624655724
9552222011
10240344020
11113739024
12685a7b84
133aa415c7
1423cc4d00
151617809a
hexe535bd4

240344020 has 72 divisors (see below), whose sum is σ = 612710784. Its totient is φ = 78813504.

The previous prime is 240343979. The next prime is 240344021. The reversal of 240344020 is 20443042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240344021) 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, 17209 + ... + 27871.

It is an arithmetic number, because the mean of its divisors is an integer number (8509872).

Almost surely, 2240344020 is an apocalyptic number.

240344020 is a gapful number since it is divisible by the number (20) 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 240344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306355392).

240344020 is an abundant number, since it is smaller than the sum of its proper divisors (372366764).

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

240344020 is a wasteful number, since it uses less digits than its factorization.

240344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 240344020 is about 15503.0326065580. The cubic root of 240344020 is about 621.7432900193.

Adding to 240344020 its reverse (20443042), we get a palindrome (260787062).

The spelling of 240344020 in words is "two hundred forty million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 10663 11270 21326 22540 42652 53315 74641 106630 149282 213260 245249 298564 373205 490498 522487 746410 980996 1044974 1226245 1492820 1716743 2089948 2452490 2612435 3433486 4904980 5224870 6866972 8583715 10449740 12017201 17167430 24034402 34334860 48068804 60086005 120172010 240344020