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40335084 = 2235172441
BaseRepresentation
bin1001100111011…
…1011011101100
32210220020100000
42121313123230
540311210314
64000304300
7666561666
oct231673354
983806300
1040335084
112084a389
1211612090
13848321a
1454dd536
15381b209
hex26776ec

40335084 has 72 divisors (see below), whose sum is σ = 111999888. Its totient is φ = 12648960.

The previous prime is 40335083. The next prime is 40335089. The reversal of 40335084 is 48053304.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (40335083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15304 + ... + 17744.

It is an arithmetic number, because the mean of its divisors is an integer number (1555554).

Almost surely, 240335084 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 40335084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55999944).

40335084 is an abundant number, since it is smaller than the sum of its proper divisors (71664804).

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

40335084 is a wasteful number, since it uses less digits than its factorization.

40335084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40335084 is about 6350.9907888455. The cubic root of 40335084 is about 342.9475110007.

Adding to 40335084 its reverse (48053304), we get a palindrome (88388388).

The spelling of 40335084 in words is "forty million, three hundred thirty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2441 2754 4131 4882 5508 7323 8262 9764 14646 16524 21969 29292 41497 43938 65907 82994 87876 124491 131814 165988 197721 248982 263628 373473 395442 497964 593163 746946 790884 1120419 1186326 1493892 2240838 2372652 3361257 4481676 6722514 10083771 13445028 20167542 40335084