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2834055984 = 243971573877
BaseRepresentation
bin1010100011101100…
…0100001100110000
321022111202221221110
42220323010030300
521301004242414
61145115353320
7130142035614
oct25073041460
97274687843
102834055984
111224829231
12671152840
133621c2406
141cc56b344
15118c15459
hexa8ec4330

2834055984 has 80 divisors (see below), whose sum is σ = 7445822048. Its totient is φ = 928751616.

The previous prime is 2834055977. The next prime is 2834055989. The reversal of 2834055984 is 4895504382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2834055989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729054 + ... + 732930.

Almost surely, 22834055984 is an apocalyptic number.

2834055984 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 2834055984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722911024).

2834055984 is an abundant number, since it is smaller than the sum of its proper divisors (4611766064).

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

2834055984 is a wasteful number, since it uses less digits than its factorization.

2834055984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2834055984 is about 53235.8524304815. The cubic root of 2834055984 is about 1415.1510839356.

The spelling of 2834055984 in words is "two billion, eight hundred thirty-four million, fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 157 194 291 314 388 471 582 628 776 942 1164 1256 1552 1884 2328 2512 3768 3877 4656 7536 7754 11631 15229 15508 23262 30458 31016 45687 46524 60916 62032 91374 93048 121832 182748 186096 243664 365496 376069 608689 730992 752138 1128207 1217378 1504276 1826067 2256414 2434756 3008552 3652134 4512828 4869512 6017104 7304268 9025656 9739024 14608536 18051312 29217072 59042833 118085666 177128499 236171332 354256998 472342664 708513996 944685328 1417027992 2834055984