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3046430640 = 2435111378423
BaseRepresentation
bin1011010110010100…
…1101011110110000
321212022101201012110
42311211031132300
522214341240030
61222143325320
7135331142661
oct26545153660
97768351173
103046430640
1113236a3480
127102b0840
133971c00a6
1420c851368
1512c6b61b0
hexb594d7b0

3046430640 has 160 divisors (see below), whose sum is σ = 10378907136. Its totient is φ = 733050880.

The previous prime is 3046430623. The next prime is 3046430663. The reversal of 3046430640 is 460346403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3046430598 and 3046430607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357469 + ... + 365891.

Almost surely, 23046430640 is an apocalyptic number.

3046430640 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 3046430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189453568).

3046430640 is an abundant number, since it is smaller than the sum of its proper divisors (7332476496).

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

3046430640 is a wasteful number, since it uses less digits than its factorization.

3046430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3046430640 is about 55194.4801587985. The cubic root of 3046430640 is about 1449.6520195480.

The spelling of 3046430640 in words is "three billion, forty-six million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 137 165 176 220 240 264 274 330 411 440 528 548 660 685 822 880 1096 1320 1370 1507 1644 2055 2192 2640 2740 3014 3288 4110 4521 5480 6028 6576 7535 8220 8423 9042 10960 12056 15070 16440 16846 18084 22605 24112 25269 30140 32880 33692 36168 42115 45210 50538 60280 67384 72336 84230 90420 92653 101076 120560 126345 134768 168460 180840 185306 202152 252690 277959 336920 361680 370612 404304 463265 505380 555918 673840 741224 926530 1010760 1111836 1153951 1389795 1482448 1853060 2021520 2223672 2307902 2779590 3461853 3706120 4447344 4615804 5559180 5769755 6923706 7412240 9231608 11118360 11539510 12693461 13847412 17309265 18463216 22236720 23079020 25386922 27694824 34618530 38080383 46158040 50773844 55389648 63467305 69237060 76160766 92316080 101547688 126934610 138474120 152321532 190401915 203095376 253869220 276948240 304643064 380803830 507738440 609286128 761607660 1015476880 1523215320 3046430640