[go: up one dir, main page]

Search a number
-
+
2430033320 = 235113133511
BaseRepresentation
bin1001000011010111…
…0101110110101000
320021100112111001002
42100311311312220
514434042031240
61041044014132
7114134641151
oct22065656650
96240474032
102430033320
111037766000
12579991348
132c95a2b50
14190a3a928
15e3509d15
hex90d75da8

2430033320 has 128 divisors (see below), whose sum is σ = 6478375680. Its totient is φ = 815443200.

The previous prime is 2430033299. The next prime is 2430033343. The reversal of 2430033320 is 233300342.

2430033320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2430033292 and 2430033301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690365 + ... + 693875.

It is an arithmetic number, because the mean of its divisors is an integer number (50612310).

Almost surely, 22430033320 is an apocalyptic number.

2430033320 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 2430033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239187840).

2430033320 is an abundant number, since it is smaller than the sum of its proper divisors (4048342360).

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

2430033320 is a wasteful number, since it uses less digits than its factorization.

2430033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2430033320 is about 49295.3681394104. The cubic root of 2430033320 is about 1344.4275688117.

Adding to 2430033320 its reverse (233300342), we get a palindrome (2663333662).

The spelling of 2430033320 in words is "two billion, four hundred thirty million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1331 1430 1573 2420 2662 2860 3146 3511 4840 5324 5720 6292 6655 7022 7865 10648 12584 13310 14044 15730 17303 17555 26620 28088 31460 34606 35110 38621 45643 53240 62920 69212 70220 77242 86515 91286 138424 140440 154484 173030 182572 193105 228215 308968 346060 365144 386210 424831 456430 502073 692120 772420 849662 912860 1004146 1544840 1699324 1825720 2008292 2124155 2510365 3398648 4016584 4248310 4673141 5020730 5522803 8496620 9346282 10041460 11045606 16993240 18692564 20082920 22091212 23365705 27614015 37385128 44182424 46731410 55228030 60750833 93462820 110456060 121501666 186925640 220912120 243003332 303754165 486006664 607508330 1215016660 2430033320