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40071834 = 23411113199
BaseRepresentation
bin1001100011011…
…1001010011010
32210101212020000
42120313022122
540224244314
63550513430
7664414335
oct230671232
983355200
1040071834
112068a620
1211505876
1383c045a
14547161c
1537b8209
hex263729a

40071834 has 80 divisors (see below), whose sum is σ = 99316800. Its totient is φ = 11975040.

The previous prime is 40071799. The next prime is 40071847. The reversal of 40071834 is 43817004.

40071834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40071798 and 40071807.

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 39 ways as a sum of consecutive naturals, for example, 201267 + ... + 201465.

It is an arithmetic number, because the mean of its divisors is an integer number (1241460).

Almost surely, 240071834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40071834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49658400).

40071834 is an abundant number, since it is smaller than the sum of its proper divisors (59244966).

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

40071834 is a wasteful number, since it uses less digits than its factorization.

40071834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40071834 is about 6330.2317493122. The cubic root of 40071834 is about 342.1997909265.

Adding to 40071834 its reverse (43817004), we get a palindrome (83888838).

The spelling of 40071834 in words is "forty million, seventy-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 113 162 198 199 226 297 339 398 594 597 678 891 1017 1194 1243 1782 1791 2034 2189 2486 3051 3582 3729 4378 5373 6102 6567 7458 9153 10746 11187 13134 16119 18306 19701 22374 22487 32238 33561 39402 44974 59103 67122 67461 100683 118206 134922 177309 201366 202383 247357 354618 404766 494714 607149 742071 1214298 1484142 1821447 2226213 3642894 4452426 6678639 13357278 20035917 40071834