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3134365650 = 23252131731517
BaseRepresentation
bin1011101011010010…
…1001111111010010
322002102212021100200
42322310221333102
522404344200100
61235004200030
7140446445163
oct27264517722
98072767320
103134365650
1113692a4339
12735839016
133ac49b140
1421a3c176a
15135285e00
hexbad29fd2

3134365650 has 144 divisors (see below), whose sum is σ = 9602526024. Its totient is φ = 726128640.

The previous prime is 3134365649. The next prime is 3134365679. The reversal of 3134365650 is 565634313.

3134365650 is a `hidden beast` number, since 31 + 34 + 36 + 565 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 269361 + 3134096289 = 519^2 + 55983^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83692 + ... + 115208.

Almost surely, 23134365650 is an apocalyptic number.

3134365650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134365650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801263012).

3134365650 is an abundant number, since it is smaller than the sum of its proper divisors (6468160374).

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

3134365650 is a wasteful number, since it uses less digits than its factorization.

3134365650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31565 (or 31557 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3134365650 is about 55985.4056875540. The cubic root of 3134365650 is about 1463.4679631958.

Adding to 3134365650 its reverse (565634313), we get a palindrome (3699999963).

The spelling of 3134365650 in words is "three billion, one hundred thirty-four million, three hundred sixty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2550 2925 3315 3825 3978 5525 5850 6630 7650 9945 11050 16575 19890 31517 33150 49725 63034 94551 99450 157585 189102 283653 315170 409721 472755 535789 567306 787925 819442 945510 1071578 1229163 1418265 1575850 1607367 2048605 2363775 2458326 2678945 2836530 3214734 3687489 4097210 4727550 4822101 5357890 6145815 6965257 7091325 7374978 8036835 9644202 10243025 12291630 13394725 13930514 14182650 16073670 18437445 20486050 20895771 24110505 26789450 30729075 34826285 36874890 40184175 41791542 48221010 61458150 62687313 69652570 80368350 92187225 104478855 120552525 125374626 174131425 184374450 208957710 241105050 313436565 348262850 522394275 626873130 1044788550 1567182825 3134365650