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2430234300 = 22352131394483
BaseRepresentation
bin1001000011011010…
…0110111010111100
320021100220200201210
42100312212322330
514434114444200
61041052204420
7114136436124
oct22066467274
96240820653
102430234300
111037892aaa
12579a69710
132c9643480
14190a8dc84
15e3549650
hex90da6ebc

2430234300 has 144 divisors (see below), whose sum is σ = 7628539520. Its totient is φ = 593775360.

The previous prime is 2430234241. The next prime is 2430234341. The reversal of 2430234300 is 34320342.

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 47 ways as a sum of consecutive naturals, for example, 539859 + ... + 544341.

Almost surely, 22430234300 is an apocalyptic number.

2430234300 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 2430234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814269760).

2430234300 is an abundant number, since it is smaller than the sum of its proper divisors (5198305220).

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

2430234300 is a wasteful number, since it uses less digits than its factorization.

2430234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2430234300 is about 49297.4066255011. The cubic root of 2430234300 is about 1344.4646321724.

Adding to 2430234300 its reverse (34320342), we get a palindrome (2464554642).

The spelling of 2430234300 in words is "two billion, four hundred thirty million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 139 150 156 195 260 278 300 325 390 417 556 650 695 780 834 975 1300 1390 1668 1807 1950 2085 2780 3475 3614 3900 4170 4483 5421 6950 7228 8340 8966 9035 10425 10842 13449 13900 17932 18070 20850 21684 22415 26898 27105 36140 41700 44830 45175 53796 54210 58279 67245 89660 90350 108420 112075 116558 134490 135525 174837 180700 224150 233116 268980 271050 291395 336225 349674 448300 542100 582790 623137 672450 699348 874185 1165580 1246274 1344900 1456975 1748370 1869411 2492548 2913950 3115685 3496740 3738822 4370925 5827900 6231370 7477644 8100781 8741850 9347055 12462740 15578425 16201562 17483700 18694110 24302343 31156850 32403124 37388220 40503905 46735275 48604686 62313700 81007810 93470550 97209372 121511715 162015620 186941100 202519525 243023430 405039050 486046860 607558575 810078100 1215117150 2430234300