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2814331640 = 235174138723
BaseRepresentation
bin1010011110111111…
…0100101011111000
321021010122212020012
42213233310223320
521230432103030
61143132521052
7126512265341
oct24757645370
97233585205
102814331640
11121468701a
12666620188
1335b0a75c3
141c9ab50c8
1511711b095
hexa7bf4af8

2814331640 has 32 divisors (see below), whose sum is σ = 6704732880. Its totient is φ = 1059512832.

The previous prime is 2814331633. The next prime is 2814331643. The reversal of 2814331640 is 461334182.

It is a junction number, because it is equal to n+sod(n) for n = 2814331597 and 2814331606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814331643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2068682 + ... + 2070041.

Almost surely, 22814331640 is an apocalyptic number.

2814331640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814331640 is an abundant number, since it is smaller than the sum of its proper divisors (3890401240).

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

2814331640 is a wasteful number, since it uses less digits than its factorization.

2814331640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138751 (or 4138747 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2814331640 is about 53050.2746458489. The cubic root of 2814331640 is about 1411.8604015783.

The spelling of 2814331640 in words is "two billion, eight hundred fourteen million, three hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4138723 8277446 16554892 20693615 33109784 41387230 70358291 82774460 140716582 165548920 281433164 351791455 562866328 703582910 1407165820 2814331640