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2731384104 = 2333724112763
BaseRepresentation
bin1010001011001101…
…1001110100101000
321001100120200121020
42202303121310220
521043213242404
61131011012440
7124454244651
oct24263316450
97040520536
102731384104
111181882339
1264289a120
13346b54717
141bca82528
1510ebd3ed9
hexa2cd9d28

2731384104 has 64 divisors (see below), whose sum is σ = 7042664640. Its totient is φ = 882109440.

The previous prime is 2731384087. The next prime is 2731384147. The reversal of 2731384104 is 4014831372.

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, 207627 + ... + 220389.

It is an arithmetic number, because the mean of its divisors is an integer number (110041635).

Almost surely, 22731384104 is an apocalyptic number.

2731384104 is a gapful number since it is divisible by the number (24) 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 2731384104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521332320).

2731384104 is an abundant number, since it is smaller than the sum of its proper divisors (4311280536).

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

2731384104 is a wasteful number, since it uses less digits than its factorization.

2731384104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13050 (or 13046 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2731384104 is about 52262.6453980278. The cubic root of 2731384104 is about 1397.8511428669.

The spelling of 2731384104 in words is "two billion, seven hundred thirty-one million, three hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 241 296 444 482 723 888 964 1446 1928 2892 5784 8917 12763 17834 25526 26751 35668 38289 51052 53502 71336 76578 102104 107004 153156 214008 306312 472231 944462 1416693 1888924 2833386 3075883 3777848 5666772 6151766 9227649 11333544 12303532 18455298 24607064 36910596 73821192 113807671 227615342 341423013 455230684 682846026 910461368 1365692052 2731384104