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2840420352 = 21337111979
BaseRepresentation
bin1010100101001101…
…0110000000000000
321022221202022012210
42221103112000000
521304121422402
61145504022120
7130250113620
oct25123260000
97287668183
102840420352
111228385940
12673301940
13363610203
141cd346880
1511957106c
hexa94d6000

2840420352 has 448 divisors, whose sum is σ = 10065715200. Its totient is φ = 690094080.

The previous prime is 2840420327. The next prime is 2840420369. The reversal of 2840420352 is 2530240482.

It is a tau number, because it is divible by the number of its divisors (448).

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, 35954649 + ... + 35954727.

Almost surely, 22840420352 is an apocalyptic number.

2840420352 is a gapful number since it is divisible by the number (22) 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 2840420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032857600).

2840420352 is an abundant number, since it is smaller than the sum of its proper divisors (7225294848).

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

2840420352 is a wasteful number, since it uses less digits than its factorization.

2840420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2840420352 is about 53295.5941143356. The cubic root of 2840420352 is about 1416.2096149834.

The spelling of 2840420352 in words is "two billion, eight hundred forty million, four hundred twenty thousand, three hundred fifty-two".