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430424000340 = 2235158319992267
BaseRepresentation
bin1100100001101110100…
…01010000011101010100
31112010222222200201111020
412100313101100131110
524023002021002330
6525422320041140
743045210431315
oct6206721203524
91463888621436
10430424000340
111565a6144134
126b5041631b0
13317867c8bc9
1416b92a5c60c
15b2e2877210
hex6437450754

430424000340 has 96 divisors (see below), whose sum is σ = 1207084032000. Its totient is φ = 114599270016.

The previous prime is 430424000299. The next prime is 430424000341. The reversal of 430424000340 is 43000424034.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 430424000340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430424000341) by changing a digit.

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, 189863887 + ... + 189866153.

It is an arithmetic number, because the mean of its divisors is an integer number (12573792000).

Almost surely, 2430424000340 is an apocalyptic number.

It is an amenable number.

430424000340 is an abundant number, since it is smaller than the sum of its proper divisors (776660031660).

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

430424000340 is a wasteful number, since it uses less digits than its factorization.

430424000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5859 counting only the distinct ones).

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

Adding to 430424000340 its reverse (43000424034), we get a palindrome (473424424374).

The spelling of 430424000340 in words is "four hundred thirty billion, four hundred twenty-four million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1583 1999 2267 3166 3998 4534 4749 5997 6332 6801 7915 7996 9068 9498 9995 11335 11994 13602 15830 18996 19990 22670 23745 23988 27204 29985 31660 34005 39980 45340 47490 59970 68010 94980 119940 136020 3164417 3588661 4531733 6328834 7177322 9063466 9493251 10765983 12657668 13595199 14354644 15822085 17943305 18126932 18986502 21531966 22658665 27190398 31644170 35886610 37973004 43063932 45317330 47466255 53829915 54380796 63288340 67975995 71773220 90634660 94932510 107659830 135951990 189865020 215319660 271903980 7173733339 14347466678 21521200017 28694933356 35868666695 43042400034 71737333390 86084800068 107606000085 143474666780 215212000170 430424000340