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12304436430 = 235111359173281
BaseRepresentation
bin10110111010110011…
…01100110011001110
31011202111222010121210
423131121230303032
5200144413431210
65352542435250
7613625661336
oct133531546316
934674863553
1012304436430
115244596230
122474892b26
131211256a20
1484a2280c6
154c0358e20
hex2dd66ccce

12304436430 has 256 divisors, whose sum is σ = 35611591680. Its totient is φ = 2681548800.

The previous prime is 12304436407. The next prime is 12304436467. The reversal of 12304436430 is 3463440321.

It is a super-2 number, since 2×123044364302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43787890 + ... + 43788170.

It is an arithmetic number, because the mean of its divisors is an integer number (139107780).

Almost surely, 212304436430 is an apocalyptic number.

12304436430 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 12304436430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805795840).

12304436430 is an abundant number, since it is smaller than the sum of its proper divisors (23307155250).

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

12304436430 is a wasteful number, since it uses less digits than its factorization.

12304436430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12304436430 its reverse (3463440321), we get a palindrome (15767876751).

The spelling of 12304436430 in words is "twelve billion, three hundred four million, four hundred thirty-six thousand, four hundred thirty".