Search a number
-
+
2330323920 = 243254768863
BaseRepresentation
bin1000101011100101…
…1110101111010000
320000101220201110100
42022321132233100
514233030331140
61023122532400
7111514266201
oct21271365720
96011821410
102330323920
11a96452941
12550507100
132b1a316c2
141816c35a8
15d98b1530
hex8ae5ebd0

2330323920 has 120 divisors (see below), whose sum is σ = 7992631296. Its totient is φ = 608189184.

The previous prime is 2330323907. The next prime is 2330323939. The reversal of 2330323920 is 293230332.

It is a happy number.

2330323920 is a `hidden beast` number, since 2 + 330 + 323 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 592 + ... + 68271.

Almost surely, 22330323920 is an apocalyptic number.

2330323920 is a gapful number since it is divisible by the number (20) 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 2330323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996315648).

2330323920 is an abundant number, since it is smaller than the sum of its proper divisors (5662307376).

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

2330323920 is a wasteful number, since it uses less digits than its factorization.

2330323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68929 (or 68920 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 2330323920 is about 48273.4287160131. The cubic root of 2330323920 is about 1325.7819369372.

The spelling of 2330323920 in words is "two billion, three hundred thirty million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 68863 137726 206589 275452 344315 413178 550904 619767 688630 826356 1032945 1101808 1239534 1377260 1652712 2065890 2479068 2754520 3098835 3236561 3305424 4131780 4958136 5509040 6197670 6473122 8263560 9709683 9916272 12395340 12946244 16182805 16527120 19419366 24790680 25892488 29129049 32365610 38838732 48548415 49581360 51784976 58258098 64731220 77677464 97096830 116516196 129462440 145645245 155354928 194193660 233032392 258924880 291290490 388387320 466064784 582580980 776774640 1165161960 2330323920