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2430023442 = 237115921511
BaseRepresentation
bin1001000011010111…
…0011011100010010
320021100111222111020
42100311303130102
514434041222232
61041043500310
7114134600310
oct22065633422
96240458436
102430023442
111037759640
12579987696
132c959b4c2
14190a370b0
15e3506e2c
hex90d73712

2430023442 has 96 divisors (see below), whose sum is σ = 6167798784. Its totient is φ = 620066400.

The previous prime is 2430023429. The next prime is 2430023459. The reversal of 2430023442 is 2443200342.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607467 + ... + 1608977.

It is an arithmetic number, because the mean of its divisors is an integer number (64247904).

Almost surely, 22430023442 is an apocalyptic number.

2430023442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430023442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083899392).

2430023442 is an abundant number, since it is smaller than the sum of its proper divisors (3737775342).

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

2430023442 is a wasteful number, since it uses less digits than its factorization.

2430023442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2430023442 is about 49295.2679473395. The cubic root of 2430023442 is about 1344.4257471257.

Adding to 2430023442 its reverse (2443200342), we get a palindrome (4873223784).

Subtracting 2430023442 from its reverse (2443200342), we obtain a square (13176900 = 36302).

The spelling of 2430023442 in words is "two billion, four hundred thirty million, twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1511 1947 2478 3022 3481 3894 4533 4543 6962 9066 9086 10443 10577 13629 16621 20886 21154 24367 27258 31731 33242 38291 48734 49863 63462 73101 76582 89149 99726 114873 116347 146202 178298 229746 232694 267447 268037 349041 534894 536074 624043 698082 804111 980639 1248086 1608222 1872129 1961278 2941917 3744258 5259791 5883834 6864473 10519582 13728946 15779373 20593419 31558746 36818537 41186838 57857701 73637074 110455611 115715402 173573103 220911222 347146206 405003907 810007814 1215011721 2430023442