Search a number
-
+
40000440 = 2335333337
BaseRepresentation
bin1001100010010…
…1101110111000
32210021020021210
42120211232320
540220003230
63545203120
7663666234
oct230455670
983236253
1040000440
1120640a17
12114904a0
138396acc
1454535c4
1537a1eb0
hex2625bb8

40000440 has 32 divisors (see below), whose sum is σ = 120001680. Its totient is φ = 10666752.

The previous prime is 40000421. The next prime is 40000451. The reversal of 40000440 is 4400004.

40000440 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

40000440 is a modest number, since divided by 440 gives 40 as remainder.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 166549 + ... + 166788.

Almost surely, 240000440 is an apocalyptic number.

40000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40000440 is an abundant number, since it is smaller than the sum of its proper divisors (80001240).

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

40000440 is a wasteful number, since it uses less digits than its factorization.

40000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333351 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40000440 is about 6324.5901052954. The cubic root of 40000440 is about 341.9964433131.

Adding to 40000440 its reverse (4400004), we get a palindrome (44400444).

The spelling of 40000440 in words is "forty million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 333337 666674 1000011 1333348 1666685 2000022 2666696 3333370 4000044 5000055 6666740 8000088 10000110 13333480 20000220 40000440