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2836641340 = 225132859977
BaseRepresentation
bin1010100100010011…
…1011011000111100
321022200122022101101
42221010323120330
521302140010330
61145251022444
7130203024241
oct25104733074
97280568341
102836641340
111226234695
12671b9aa24
133628b9100
141cca415c8
151190764ca
hexa913b63c

2836641340 has 72 divisors (see below), whose sum is σ = 6464540880. Its totient is φ = 1045085184.

The previous prime is 2836641331. The next prime is 2836641343. The reversal of 2836641340 is 431466382.

2836641340 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 2836641340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2836641343) 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, 2902932 + ... + 2903908.

It is an arithmetic number, because the mean of its divisors is an integer number (89785290).

Almost surely, 22836641340 is an apocalyptic number.

2836641340 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 2836641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232270440).

2836641340 is an abundant number, since it is smaller than the sum of its proper divisors (3627899540).

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

2836641340 is a wasteful number, since it uses less digits than its factorization.

2836641340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 2836641340 is about 53260.1289897049. The cubic root of 2836641340 is about 1415.5812750815.

The spelling of 2836641340 in words is "two billion, eight hundred thirty-six million, six hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 859 977 1690 1718 1954 3380 3436 3908 4295 4885 8590 9770 11167 12701 17180 19540 22334 25402 44668 50804 55835 63505 111670 127010 145171 165113 223340 254020 290342 330226 580684 660452 725855 825565 839243 1451710 1651130 1678486 2903420 3302260 3356972 4196215 8392430 10910159 16784860 21820318 43640636 54550795 109101590 141832067 218203180 283664134 567328268 709160335 1418320670 2836641340