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434130012 = 2232191913323
BaseRepresentation
bin11001111000000…
…100110001011100
31010020220002102100
4121320010301130
51342114130022
6111024525100
713521021111
oct3170046134
91106802370
10434130012
11203067338
12101480790
136bc31384
144192a908
15281a61ac
hex19e04c5c

434130012 has 72 divisors (see below), whose sum is σ = 1161538560. Its totient is φ = 136334880.

The previous prime is 434129989. The next prime is 434130013. The reversal of 434130012 is 210031434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434130013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128983 + ... + 132305.

It is an arithmetic number, because the mean of its divisors is an integer number (16132480).

Almost surely, 2434130012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580769280).

434130012 is an abundant number, since it is smaller than the sum of its proper divisors (727408548).

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

434130012 is a wasteful number, since it uses less digits than its factorization.

434130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 434130012 is about 20835.7868101975. The cubic root of 434130012 is about 757.1930226912.

Adding to 434130012 its reverse (210031434), we get a palindrome (644161446).

The spelling of 434130012 in words is "four hundred thirty-four million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 191 228 342 382 573 684 764 1146 1719 2292 3323 3438 3629 6646 6876 7258 9969 10887 13292 14516 19938 21774 29907 32661 39876 43548 59814 63137 65322 119628 126274 130644 189411 252548 378822 568233 634693 757644 1136466 1269386 1904079 2272932 2538772 3808158 5712237 7616316 11424474 12059167 22848948 24118334 36177501 48236668 72355002 108532503 144710004 217065006 434130012