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2412743300 = 2252117130893
BaseRepresentation
bin1000111111001111…
…1000101010000100
320020011000001120222
42033303320222010
514420130241200
61035225243512
7113534660012
oct21763705204
96204001528
102412743300
111028a26830
12574033598
132c5b2b076
1418c6198b2
15e1c41d85
hex8fcf8a84

2412743300 has 72 divisors (see below), whose sum is σ = 5792254272. Its totient is φ = 864976000.

The previous prime is 2412743243. The next prime is 2412743317. The reversal of 2412743300 is 33472142.

2412743300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2412743300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62654 + ... + 93546.

It is an arithmetic number, because the mean of its divisors is an integer number (80447976).

Almost surely, 22412743300 is an apocalyptic number.

2412743300 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 2412743300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896127136).

2412743300 is an abundant number, since it is smaller than the sum of its proper divisors (3379510972).

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

2412743300 is a wasteful number, since it uses less digits than its factorization.

2412743300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30989 (or 30982 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 2412743300 is about 49119.6834273186. The cubic root of 2412743300 is about 1341.2313808961.

The spelling of 2412743300 in words is "two billion, four hundred twelve million, seven hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 30893 39050 61786 78100 123572 154465 308930 339823 617860 679646 772325 1359292 1544650 1699115 2193403 3089300 3398230 4386806 6796460 8495575 8773612 10967015 16991150 21934030 24127433 33982300 43868060 48254866 54835075 96509732 109670150 120637165 219340300 241274330 482548660 603185825 1206371650 2412743300