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2823374240 = 25564127529
BaseRepresentation
bin1010100001001001…
…0100010110100000
321021202200021100022
42220102110112200
521240240433430
61144054413012
7126652166531
oct25022242640
97252607308
102823374240
1112197a2945
12669661168
1335cc2245b
141cad8a688
15117d054e5
hexa84945a0

2823374240 has 48 divisors (see below), whose sum is σ = 6680870280. Its totient is φ = 1127546880.

The previous prime is 2823374237. The next prime is 2823374243. The reversal of 2823374240 is 424733282.

It is an interprime number because it is at equal distance from previous prime (2823374237) and next prime (2823374243).

It can be written as a sum of positive squares in 4 ways, for example, as 2567246224 + 256128016 = 50668^2 + 16004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2823374240.

It is not an unprimeable number, because it can be changed into a prime (2823374243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88796 + ... + 116324.

Almost surely, 22823374240 is an apocalyptic number.

2823374240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2823374240 is an abundant number, since it is smaller than the sum of its proper divisors (3857496040).

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

2823374240 is a wasteful number, since it uses less digits than its factorization.

2823374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28185 (or 28177 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 2823374240 is about 53135.4329990826. The cubic root of 2823374240 is about 1413.3709129282.

The spelling of 2823374240 in words is "two billion, eight hundred twenty-three million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 641 1282 2564 3205 5128 6410 10256 12820 20512 25640 27529 51280 55058 102560 110116 137645 220232 275290 440464 550580 880928 1101160 2202320 4404640 17646089 35292178 70584356 88230445 141168712 176460890 282337424 352921780 564674848 705843560 1411687120 2823374240