Search a number
-
+
40034300 = 2252616563
BaseRepresentation
bin1001100010110…
…1111111111100
32210022221201212
42120231333330
540222044200
63550023552
7664200035
oct230557774
983287655
1040034300
11206643a9
12114a7bb8
1383a9347
145461a8c
1537ac035
hex262dffc

40034300 has 36 divisors (see below), whose sum is σ = 88312056. Its totient is φ = 15748800.

The previous prime is 40034287. The next prime is 40034317. The reversal of 40034300 is 343004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2819 + ... + 9381.

Almost surely, 240034300 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 40034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44156028).

40034300 is an abundant number, since it is smaller than the sum of its proper divisors (48277756).

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

40034300 is a wasteful number, since it uses less digits than its factorization.

40034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 40034300 is about 6327.2663923688. The cubic root of 40034300 is about 342.0929150323.

Adding to 40034300 its reverse (343004), we get a palindrome (40377304).

The spelling of 40034300 in words is "forty million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 6563 13126 26252 32815 65630 131260 164075 328150 400343 656300 800686 1601372 2001715 4003430 8006860 10008575 20017150 40034300