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240340240 = 24571632633
BaseRepresentation
bin11100101001101…
…00110100010000
3121202020112211101
432110310310100
5443011341430
635503154144
75645600260
oct1624646420
9552215741
10240340240
111137361a8
12685a5954
133aa3c97a
1423cc37a0
1516176dca
hexe534d10

240340240 has 80 divisors (see below), whose sum is σ = 642780288. Its totient is φ = 81865728.

The previous prime is 240340231. The next prime is 240340273. The reversal of 240340240 is 42043042.

It is a tau number, because it is divible by the number of its divisors (80).

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, 89964 + ... + 92596.

Almost surely, 2240340240 is an apocalyptic number.

240340240 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 240340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321390144).

240340240 is an abundant number, since it is smaller than the sum of its proper divisors (402440048).

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

240340240 is a wasteful number, since it uses less digits than its factorization.

240340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2810 counting only the distinct ones).

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

The square root of 240340240 is about 15502.9106944470. The cubic root of 240340240 is about 621.7400305221.

Adding to 240340240 its reverse (42043042), we get a palindrome (282383282).

The spelling of 240340240 in words is "two hundred forty million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 163 280 326 560 652 815 1141 1304 1630 2282 2608 2633 3260 4564 5266 5705 6520 9128 10532 11410 13040 13165 18256 18431 21064 22820 26330 36862 42128 45640 52660 73724 91280 92155 105320 147448 184310 210640 294896 368620 429179 737240 858358 1474480 1716716 2145895 3004253 3433432 4291790 6008506 6866864 8583580 12017012 15021265 17167160 24034024 30042530 34334320 48068048 60085060 120170120 240340240