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2534034984 = 2331331377397
BaseRepresentation
bin1001011100001010…
…0100111000101000
320112121020022111120
42113002210320220
520142203104414
61055241055240
7116536641045
oct22702447050
96477208446
102534034984
11109043aa98
125a8787520
13314cb7bb0
141a07901cc
15ec7002a9
hex970a4e28

2534034984 has 256 divisors, whose sum is σ = 7407482880. Its totient is φ = 716636160.

The previous prime is 2534034983. The next prime is 2534034989. The reversal of 2534034984 is 4894304352.

It is not an unprimeable number, because it can be changed into a prime (2534034983) 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 63 ways as a sum of consecutive naturals, for example, 26124024 + ... + 26124120.

It is an arithmetic number, because the mean of its divisors is an integer number (28935480).

Almost surely, 22534034984 is an apocalyptic number.

2534034984 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 2534034984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703741440).

2534034984 is an abundant number, since it is smaller than the sum of its proper divisors (4873447896).

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

2534034984 is a wasteful number, since it uses less digits than its factorization.

2534034984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2534034984 is about 50339.1992784947. The cubic root of 2534034984 is about 1363.3400788890.

The spelling of 2534034984 in words is "two billion, five hundred thirty-four million, thirty-four thousand, nine hundred eighty-four".