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40033434 = 2374012377
BaseRepresentation
bin1001100010110…
…1110010011010
32210022220112210
42120231302122
540222032214
63550015550
7664164360
oct230556232
983286483
1040033434
1120663791
12114a75b6
1383a8b2c
145461630
1537abb59
hex262dc9a

40033434 has 32 divisors (see below), whose sum is σ = 91771776. Its totient is φ = 11404800.

The previous prime is 40033429. The next prime is 40033439. The reversal of 40033434 is 43433004.

40033434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40033429) and next prime (40033439).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40033434.

It is not an unprimeable number, because it can be changed into a prime (40033439) 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 15 ways as a sum of consecutive naturals, for example, 15654 + ... + 18030.

It is an arithmetic number, because the mean of its divisors is an integer number (2867868).

Almost surely, 240033434 is an apocalyptic number.

40033434 is an abundant number, since it is smaller than the sum of its proper divisors (51738342).

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

40033434 is a wasteful number, since it uses less digits than its factorization.

40033434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 40033434 is about 6327.1979580222. The cubic root of 40033434 is about 342.0904483592.

Adding to 40033434 its reverse (43433004), we get a palindrome (83466438).

The spelling of 40033434 in words is "forty million, thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 401 802 1203 2377 2406 2807 4754 5614 7131 8421 14262 16639 16842 33278 49917 99834 953177 1906354 2859531 5719062 6672239 13344478 20016717 40033434