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3134808240 = 243522215881
BaseRepresentation
bin1011101011011001…
…0110000010110000
322002110200202110220
42322312112002300
522410002330430
61235021453040
7140453300424
oct27266260260
98073622426
103134808240
111369576913
12735a11180
133ac5c4725
1421a498b84
15135322110
hexbad960b0

3134808240 has 80 divisors (see below), whose sum is σ = 9723934176. Its totient is φ = 835430400.

The previous prime is 3134808199. The next prime is 3134808283. The reversal of 3134808240 is 428084313.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530100 + ... + 535980.

Almost surely, 23134808240 is an apocalyptic number.

3134808240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134808240 is an abundant number, since it is smaller than the sum of its proper divisors (6589125936).

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

3134808240 is a wasteful number, since it uses less digits than its factorization.

3134808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3134808240 is about 55989.3582745864. The cubic root of 3134808240 is about 1463.5368432472.

The spelling of 3134808240 in words is "three billion, one hundred thirty-four million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2221 4442 5881 6663 8884 11105 11762 13326 17643 17768 22210 23524 26652 29405 33315 35286 35536 44420 47048 53304 58810 66630 70572 88215 88840 94096 106608 117620 133260 141144 176430 177680 235240 266520 282288 352860 470480 533040 705720 1411440 13061701 26123402 39185103 52246804 65308505 78370206 104493608 130617010 156740412 195925515 208987216 261234020 313480824 391851030 522468040 626961648 783702060 1044936080 1567404120 3134808240