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434342112 = 25317377193
BaseRepresentation
bin11001111000111…
…000100011100000
31010021021212100220
4121320320203200
51342142421422
6111033243040
713522563351
oct3170704340
91107255326
10434342112
112031a1726
12101563480
136bca6a89
1441983d28
15281e8e5c
hex19e388e0

434342112 has 96 divisors (see below), whose sum is σ = 1240015392. Its totient is φ = 132562944.

The previous prime is 434342101. The next prime is 434342131. The reversal of 434342112 is 211243434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56788 + ... + 63980.

It is an arithmetic number, because the mean of its divisors is an integer number (12916827).

Almost surely, 2434342112 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 434342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620007696).

434342112 is an abundant number, since it is smaller than the sum of its proper divisors (805673280).

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

434342112 is a wasteful number, since it uses less digits than its factorization.

434342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7252 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 434342112 is about 20840.8759892669. The cubic root of 434342112 is about 757.3163148604.

Adding to 434342112 its reverse (211243434), we get a palindrome (645585546).

The spelling of 434342112 in words is "four hundred thirty-four million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 544 592 629 816 888 1184 1258 1632 1776 1887 2516 3552 3774 5032 7193 7548 10064 14386 15096 20128 21579 28772 30192 43158 57544 60384 86316 115088 122281 172632 230176 244562 266141 345264 366843 489124 532282 690528 733686 798423 978248 1064564 1467372 1596846 1956496 2129128 2934744 3193692 3912992 4258256 4524397 5869488 6387384 8516512 9048794 11738976 12774768 13573191 18097588 25549536 27146382 36195176 54292764 72390352 108585528 144780704 217171056 434342112