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2821031340 = 2235174364319
BaseRepresentation
bin1010100000100101…
…1000010110101100
321021121021020111020
42220021120112230
521234141000330
61143532254140
7126623241111
oct25011302654
97247236436
102821031340
111218442666
12668911350
1335c5b1c1a
141ca93a908
151179e1210
hexa82585ac

2821031340 has 96 divisors (see below), whose sum is σ = 8558161920. Its totient is φ = 691547136.

The previous prime is 2821031273. The next prime is 2821031359. The reversal of 2821031340 is 431301282.

It is a self number, because there is not a number n which added to its sum of digits gives 2821031340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11701 + ... + 76019.

It is an arithmetic number, because the mean of its divisors is an integer number (89147520).

Almost surely, 22821031340 is an apocalyptic number.

2821031340 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 2821031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279080960).

2821031340 is an abundant number, since it is smaller than the sum of its proper divisors (5737130580).

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

2821031340 is a wasteful number, since it uses less digits than its factorization.

2821031340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64391 (or 64389 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2821031340 is about 53113.3819296041. The cubic root of 2821031340 is about 1412.9798556557.

The spelling of 2821031340 in words is "two billion, eight hundred twenty-one million, thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 645 731 860 1020 1290 1462 2193 2580 2924 3655 4386 7310 8772 10965 14620 21930 43860 64319 128638 192957 257276 321595 385914 643190 771828 964785 1093423 1286380 1929570 2186846 2765717 3280269 3859140 4373692 5467115 5531434 6560538 8297151 10934230 11062868 13121076 13828585 16401345 16594302 21868460 27657170 32802690 33188604 41485755 47017189 55314340 65605380 82971510 94034378 141051567 165943020 188068756 235085945 282103134 470171890 564206268 705257835 940343780 1410515670 2821031340