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2402412240 = 243521147441
BaseRepresentation
bin1000111100110001…
…1110011011010000
320012102120012001010
42033030132123100
514410004142430
61034220010520
7113351111214
oct21714363320
96172505033
102402412240
11102310a968
12570690a40
132c3951907
1418b0ca944
15e0da0cb0
hex8f31e6d0

2402412240 has 80 divisors (see below), whose sum is σ = 7482931776. Its totient is φ = 637593600.

The previous prime is 2402412217. The next prime is 2402412247. The reversal of 2402412240 is 422142042.

2402412240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402412247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26920 + ... + 74360.

Almost surely, 22402412240 is an apocalyptic number.

2402412240 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 2402412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741465888).

2402412240 is an abundant number, since it is smaller than the sum of its proper divisors (5080519536).

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

2402412240 is a wasteful number, since it uses less digits than its factorization.

2402412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47668 (or 47662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2402412240 is about 49014.4084938296. The cubic root of 2402412240 is about 1339.3143146695.

Adding to 2402412240 its reverse (422142042), we get a palindrome (2824554282).

The spelling of 2402412240 in words is "two billion, four hundred two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 8440 10128 12660 16880 25320 47441 50640 94882 142323 189764 237205 284646 379528 474410 569292 711615 759056 948820 1138584 1423230 1897640 2277168 2846460 3795280 5692920 10010051 11385840 20020102 30030153 40040204 50050255 60060306 80080408 100100510 120120612 150150765 160160816 200201020 240241224 300301530 400402040 480482448 600603060 800804080 1201206120 2402412240