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434140434 = 232713713733
BaseRepresentation
bin11001111000000…
…111010100010010
31010020220121201100
4121320013110102
51342114443214
6111025045230
713521063360
oct3170072422
91106817640
10434140434
11203074152
12101486816
136bc36040
1441930630
15281a9309
hex19e07512

434140434 has 96 divisors (see below), whose sum is σ = 1174328064. Its totient is φ = 112855680.

The previous prime is 434140429. The next prime is 434140439. The reversal of 434140434 is 434041434.

It is an interprime number because it is at equal distance from previous prime (434140429) and next prime (434140439).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 434140398 and 434140407.

It is not an unprimeable number, because it can be changed into a prime (434140439) 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 47 ways as a sum of consecutive naturals, for example, 114432 + ... + 118164.

It is an arithmetic number, because the mean of its divisors is an integer number (12232584).

Almost surely, 2434140434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434140434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587164032).

434140434 is an abundant number, since it is smaller than the sum of its proper divisors (740187630).

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

434140434 is a wasteful number, since it uses less digits than its factorization.

434140434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3829 counting only the distinct ones).

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

The square root of 434140434 is about 20836.0369072432. The cubic root of 434140434 is about 757.1990818611.

Adding to 434140434 its reverse (434041434), we get a palindrome (868181868).

The spelling of 434140434 in words is "four hundred thirty-four million, one hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 71 78 91 117 126 142 182 213 234 273 426 497 546 639 819 923 994 1278 1491 1638 1846 2769 2982 3733 4473 5538 6461 7466 8307 8946 11199 12922 16614 19383 22398 26131 33597 38766 48529 52262 58149 67194 78393 97058 116298 145587 156786 235179 265043 291174 339703 436761 470358 530086 679406 795129 873522 1019109 1590258 1855301 2038218 2385387 3057327 3445559 3710602 4770774 5565903 6114654 6891118 10336677 11131806 16697709 20673354 24118913 31010031 33395418 48237826 62020062 72356739 144713478 217070217 434140434