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2412330240 = 2835643977
BaseRepresentation
bin1000111111001001…
…0011110100000000
320020010020001222110
42033302103310000
514420024031430
61035212335320
7113531316525
oct21762236400
96203201873
102412330240
111028774461
12573a74540
132c5a15058
1418c54d14c
15e1bae7b0
hex8fc93d00

2412330240 has 144 divisors (see below), whose sum is σ = 7724259648. Its totient is φ = 641630208.

The previous prime is 2412330223. The next prime is 2412330241. The reversal of 2412330240 is 420332142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412330241) 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, 2468632 + ... + 2469608.

It is an arithmetic number, because the mean of its divisors is an integer number (53640692).

Almost surely, 22412330240 is an apocalyptic number.

2412330240 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 2412330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862129824).

2412330240 is an abundant number, since it is smaller than the sum of its proper divisors (5311929408).

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

2412330240 is an equidigital number, since it uses as much as digits as its factorization.

2412330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2412330240 is about 49115.4786192703. The cubic root of 2412330240 is about 1341.1548372300.

Adding to 2412330240 its reverse (420332142), we get a palindrome (2832662382).

The spelling of 2412330240 in words is "two billion, four hundred twelve million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 643 768 960 977 1280 1286 1920 1929 1954 2572 2931 3215 3840 3858 3908 4885 5144 5862 6430 7716 7816 9645 9770 10288 11724 12860 14655 15432 15632 19290 19540 20576 23448 25720 29310 30864 31264 38580 39080 41152 46896 51440 58620 61728 62528 77160 78160 82304 93792 102880 117240 123456 125056 154320 156320 164608 187584 205760 234480 246912 250112 308640 312640 375168 411520 468960 493824 617280 625280 628211 750336 823040 937920 1234560 1250560 1256422 1875840 1884633 2469120 2512844 3141055 3751680 3769266 5025688 6282110 7538532 9423165 10051376 12564220 15077064 18846330 20102752 25128440 30154128 37692660 40205504 50256880 60308256 75385320 80411008 100513760 120616512 150770640 160822016 201027520 241233024 301541280 402055040 482466048 603082560 804110080 1206165120 2412330240