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434243412 = 223231439049
BaseRepresentation
bin11001111000100…
…000011101010100
31010021002211222100
4121320200131110
51342131242122
6111031202100
713522002531
oct3170403524
91107084870
10434243412
11203134559
12101516330
136bc70b85
1441959d88
15281c9aac
hex19e20754

434243412 has 72 divisors (see below), whose sum is σ = 1159558400. Its totient is φ = 136805760.

The previous prime is 434243389. The next prime is 434243413. The reversal of 434243412 is 214342434.

It is a happy number.

434243412 is a `hidden beast` number, since 4 + 3 + 4 + 243 + 412 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434243413) 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, 43464 + ... + 52512.

Almost surely, 2434243412 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 434243412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579779200).

434243412 is an abundant number, since it is smaller than the sum of its proper divisors (725314988).

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

434243412 is a wasteful number, since it uses less digits than its factorization.

434243412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9128 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 434243412 is about 20838.5079120363. The cubic root of 434243412 is about 757.2589462710.

Adding to 434243412 its reverse (214342434), we get a palindrome (648585846).

The spelling of 434243412 in words is "four hundred thirty-four million, two hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 1116 1333 1548 2666 3999 5332 7998 9049 11997 15996 18098 23994 27147 36196 47988 54294 81441 108588 162882 280519 325764 389107 561038 778214 841557 1122076 1167321 1556428 1683114 2334642 2524671 3366228 3501963 4669284 5049342 7003926 10098684 12062317 14007852 24124634 36186951 48249268 72373902 108560853 144747804 217121706 434243412