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40133034 = 23231711013
BaseRepresentation
bin1001100100011…
…0000110101010
32210111222011200
42121012012222
540233224114
63552105030
7665060634
oct231060652
983458150
1040133034
11207215a7
1211535176
138412276
145489a54
1537cb409
hex26461aa

40133034 has 48 divisors (see below), whose sum is σ = 91113984. Its totient is φ = 12751200.

The previous prime is 40133033. The next prime is 40133063. The reversal of 40133034 is 43033104.

It is a super-2 number, since 2×401330342 = 3221320836090312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40132998 and 40133016.

It is not an unprimeable number, because it can be changed into a prime (40133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39112 + ... + 40124.

It is an arithmetic number, because the mean of its divisors is an integer number (1898208).

Almost surely, 240133034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45556992).

40133034 is an abundant number, since it is smaller than the sum of its proper divisors (50980950).

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

40133034 is a wasteful number, since it uses less digits than its factorization.

40133034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40133034 is about 6335.0638512962. The cubic root of 40133034 is about 342.3739113544.

Adding to 40133034 its reverse (43033104), we get a palindrome (83166138).

The spelling of 40133034 in words is "forty million, one hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 639 1013 1278 2026 2201 3039 4402 6078 6603 9117 13206 18234 19809 31403 39618 62806 71923 94209 143846 188418 215769 282627 431538 565254 647307 1294614 2229613 4459226 6688839 13377678 20066517 40133034