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2834490240 = 27335179649
BaseRepresentation
bin1010100011110010…
…1110001110000000
321022112121000122000
42220330232032000
521301112141430
61145132544000
7130145524641
oct25074561600
97275530560
102834490240
111224aa551a
12671322000
13362314c7a
141cc6416c8
15118c9de60
hexa8f2e380

2834490240 has 256 divisors, whose sum is σ = 10630440000. Its totient is φ = 711327744.

The previous prime is 2834490221. The next prime is 2834490259. The reversal of 2834490240 is 420944382.

It is an interprime number because it is at equal distance from previous prime (2834490221) and next prime (2834490259).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2834490195 and 2834490204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288936 + ... + 298584.

Almost surely, 22834490240 is an apocalyptic number.

2834490240 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 2834490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315220000).

2834490240 is an abundant number, since it is smaller than the sum of its proper divisors (7795949760).

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

2834490240 is a wasteful number, since it uses less digits than its factorization.

2834490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2834490240 is about 53239.9308789934. The cubic root of 2834490240 is about 1415.2233603793.

The spelling of 2834490240 in words is "two billion, eight hundred thirty-four million, four hundred ninety thousand, two hundred forty".