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40434534 = 23271743439
BaseRepresentation
bin1001101000111…
…1101101100110
32211002021202100
42122033231212
540322401114
64002352530
71000454640
oct232175546
984067670
1040434534
1120908078
121165b746
1384b957a
145527890
15383a909
hex268fb66

40434534 has 96 divisors (see below), whose sum is σ = 108725760. Its totient is φ = 10596096.

The previous prime is 40434533. The next prime is 40434539. The reversal of 40434534 is 43543404.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40434498 and 40434507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91887 + ... + 92325.

It is an arithmetic number, because the mean of its divisors is an integer number (1132560).

Almost surely, 240434534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40434534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54362880).

40434534 is an abundant number, since it is smaller than the sum of its proper divisors (68291226).

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

40434534 is a wasteful number, since it uses less digits than its factorization.

40434534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 40434534 is about 6358.8154557276. The cubic root of 40434534 is about 343.2291362781.

Adding to 40434534 its reverse (43543404), we get a palindrome (83977938).

The spelling of 40434534 in words is "forty million, four hundred thirty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 43 51 63 86 102 119 126 129 153 238 258 301 306 357 387 439 602 714 731 774 878 903 1071 1317 1462 1806 2142 2193 2634 2709 3073 3951 4386 5117 5418 6146 6579 7463 7902 9219 10234 13158 14926 15351 18438 18877 22389 27657 30702 37754 44778 46053 52241 55314 56631 67167 92106 104482 113262 132139 134334 156723 169893 264278 313446 320909 339786 396417 470169 641818 792834 940338 962727 1189251 1925454 2246363 2378502 2888181 4492726 5776362 6739089 13478178 20217267 40434534