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1230431430 = 235295923971
BaseRepresentation
bin100100101010110…
…1110010011000110
310011202021101121110
41021111232103012
510004442301210
6322032225450
742330331434
oct11125562306
93152241543
101230431430
11581601388
122a409b286
13167bba947
14b95b1d54
157304c420
hex4956e4c6

1230431430 has 64 divisors (see below), whose sum is σ = 3106771200. Its totient is φ = 311418240.

The previous prime is 1230431429. The next prime is 1230431441. The reversal of 1230431430 is 341340321.

It is a junction number, because it is equal to n+sod(n) for n = 1230431397 and 1230431406.

It is a congruent number.

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, 39345 + ... + 63315.

It is an arithmetic number, because the mean of its divisors is an integer number (48543300).

Almost surely, 21230431430 is an apocalyptic number.

1230431430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230431430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553385600).

1230431430 is an abundant number, since it is smaller than the sum of its proper divisors (1876339770).

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

1230431430 is a wasteful number, since it uses less digits than its factorization.

1230431430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24069.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1230431430 is about 35077.5060401962. The cubic root of 1230431430 is about 1071.5665265666.

Adding to 1230431430 its reverse (341340321), we get a palindrome (1571771751).

It can be divided in two parts, 12304 and 31430, that added together give a palindrome (43734).

The spelling of 1230431430 in words is "one billion, two hundred thirty million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 174 177 290 295 354 435 590 870 885 1711 1770 3422 5133 8555 10266 17110 23971 25665 47942 51330 71913 119855 143826 239710 359565 695159 719130 1390318 1414289 2085477 2828578 3475795 4170954 4242867 6951590 7071445 8485734 10427385 14142890 20854770 21214335 41014381 42428670 82028762 123043143 205071905 246086286 410143810 615215715 1230431430