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3031340340 = 2235716344279
BaseRepresentation
bin1011010010101110…
…1001010100110100
321211021000001012110
42310223221110310
522202010342330
61220444051020
7135055652640
oct26453512464
97737001173
103031340340
111316126956
12707233a70
13394038612
1420a843c20
1512b1d4db0
hexb4ae9534

3031340340 has 96 divisors (see below), whose sum is σ = 9760020480. Its totient is φ = 688611456.

The previous prime is 3031340327. The next prime is 3031340381. The reversal of 3031340340 is 430431303.

3031340340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30313403402 = 18378048513822631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 46321 + ... + 90599.

It is an arithmetic number, because the mean of its divisors is an integer number (101666880).

Almost surely, 23031340340 is an apocalyptic number.

3031340340 is a gapful number since it is divisible by the number (30) 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 3031340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880010240).

3031340340 is an abundant number, since it is smaller than the sum of its proper divisors (6728680140).

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

3031340340 is a wasteful number, since it uses less digits than its factorization.

3031340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44461 (or 44459 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3031340340 is about 55057.6092833679. The cubic root of 3031340340 is about 1447.2544701836.

Adding to 3031340340 its reverse (430431303), we get a palindrome (3461771643).

The spelling of 3031340340 in words is "three billion, thirty-one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1630 1956 2282 2445 3260 3423 4564 4890 5705 6846 9780 11410 13692 17115 22820 34230 44279 68460 88558 132837 177116 221395 265674 309953 442790 531348 619906 664185 885580 929859 1239812 1328370 1549765 1859718 2656740 3099530 3719436 4649295 6199060 7217477 9298590 14434954 18597180 21652431 28869908 36087385 43304862 50522339 72174770 86609724 101044678 108262155 144349540 151567017 202089356 216524310 252611695 303134034 433048620 505223390 606268068 757835085 1010446780 1515670170 3031340340