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2430204330 = 2357110710663
BaseRepresentation
bin1001000011011001…
…1111100110101010
320021100212011121210
42100312133212222
514434113014310
61041051413550
7114136252551
oct22066374652
96240764553
102430204330
111037872534
12579a542b6
132c9632938
14190a82d98
15e3540820
hex90d9f9aa

2430204330 has 64 divisors (see below), whose sum is σ = 5970475008. Its totient is φ = 632896320.

The previous prime is 2430204319. The next prime is 2430204433. The reversal of 2430204330 is 334020342.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2430204297 and 2430204306.

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, 222579 + ... + 233241.

It is an arithmetic number, because the mean of its divisors is an integer number (93288672).

Almost surely, 22430204330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985237504).

2430204330 is an abundant number, since it is smaller than the sum of its proper divisors (3540270678).

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

2430204330 is a wasteful number, since it uses less digits than its factorization.

2430204330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851.

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

The square root of 2430204330 is about 49297.1026531986. The cubic root of 2430204330 is about 1344.4591054391.

Adding to 2430204330 its reverse (334020342), we get a palindrome (2764224672).

The spelling of 2430204330 in words is "two billion, four hundred thirty million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 107 142 213 214 321 355 426 535 642 710 1065 1070 1605 2130 3210 7597 10663 15194 21326 22791 31989 37985 45582 53315 63978 75970 106630 113955 159945 227910 319890 757073 1140941 1514146 2271219 2281882 3422823 3785365 4542438 5704705 6845646 7570730 11356095 11409410 17114115 22712190 34228230 81006811 162013622 243020433 405034055 486040866 810068110 1215102165 2430204330