Search a number
-
+
33240540 = 22355310453
BaseRepresentation
bin111111011001…
…1010111011100
32022112210110010
41332303113130
532002144130
63144243220
7552353124
oct176632734
968483403
1033240540
1117844123
12b170510
136b6ac78
1445b3c84
152db90b0
hex1fb35dc

33240540 has 48 divisors (see below), whose sum is σ = 94838688. Its totient is φ = 8696064.

The previous prime is 33240539. The next prime is 33240551. The reversal of 33240540 is 4504233.

It is a happy number.

It is a super-2 number, since 2×332405402 = 2209866998983200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2047 + ... + 8406.

It is an arithmetic number, because the mean of its divisors is an integer number (1975806).

Almost surely, 233240540 is an apocalyptic number.

33240540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33240540 is an abundant number, since it is smaller than the sum of its proper divisors (61598148).

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

33240540 is a wasteful number, since it uses less digits than its factorization.

33240540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 33240540 is about 5765.4609529508. The cubic root of 33240540 is about 321.5308807300.

Adding to 33240540 its reverse (4504233), we get a palindrome (37744773).

The spelling of 33240540 in words is "thirty-three million, two hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 10453 20906 31359 41812 52265 62718 104530 125436 156795 209060 313590 554009 627180 1108018 1662027 2216036 2770045 3324054 5540090 6648108 8310135 11080180 16620270 33240540