Search a number
-
+
328395568680 = 23345472921433
BaseRepresentation
bin1001100011101011110…
…01101011011000101000
31011101122110012101010000
410301311321223120220
520340023231144210
6410510212423000
732503643164014
oct4616571533050
91141573171100
10328395568680
111172a9812333
125378b017a60
1324c76998c5a
1411c74461544
158820510ac0
hex4c75e6b628

328395568680 has 160 divisors (see below), whose sum is σ = 1104058909800. Its totient is φ = 87549548544.

The previous prime is 328395568679. The next prime is 328395568687. The reversal of 328395568680 is 86865593823.

328395568680 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 9 + 5 + 568 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85167083556 + 243228485124 = 291834^2 + 493182^2 .

It is a super-3 number, since 3×3283955686803 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (328395568687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15311244 + ... + 15332676.

Almost surely, 2328395568680 is an apocalyptic number.

328395568680 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 328395568680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552029454900).

328395568680 is an abundant number, since it is smaller than the sum of its proper divisors (775663341120).

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

328395568680 is a wasteful number, since it uses less digits than its factorization.

328395568680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26185 (or 26172 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 328395568680 in words is "three hundred twenty-eight billion, three hundred ninety-five million, five hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 4729 9458 14187 18916 21433 23645 28374 37832 42561 42866 47290 56748 64299 70935 85122 85732 94580 107165 113496 127683 128598 141870 170244 171464 189160 192897 212805 214330 255366 257196 283740 321495 340488 383049 385794 425610 428660 510732 514392 567480 578691 638415 642990 766098 771588 851220 857320 964485 1021464 1157382 1276830 1285980 1532196 1543176 1702440 1736073 1915245 1928970 2314764 2553660 2571960 2893455 3064392 3472146 3830490 3857940 4629528 5107320 5786910 6944292 7660980 7715880 8680365 11573820 13888584 15321960 17360730 23147640 34721460 69442920 101356657 202713314 304069971 405426628 506783285 608139942 810853256 912209913 1013566570 1216279884 1520349855 1824419826 2027133140 2432559768 2736629739 3040699710 3648839652 4054266280 4561049565 5473259478 6081399420 7297679304 8209889217 9122099130 10946518956 12162798840 13683148695 16419778434 18244198260 21893037912 27366297390 32839556868 36488396520 41049446085 54732594780 65679113736 82098892170 109465189560 164197784340 328395568680