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540334440 = 233251500929
BaseRepresentation
bin100000001101001…
…101100101101000
31101122201211111200
4200031031211220
52101311200230
6125341124200
716250524032
oct4015154550
91348654450
10540334440
11258006298
12130b59660
1387c37c29
1451a94c52
1532684160
hex2034d968

540334440 has 48 divisors (see below), whose sum is σ = 1756088100. Its totient is φ = 144089088.

The previous prime is 540334391. The next prime is 540334441. The reversal of 540334440 is 44433045.

It can be written as a sum of positive squares in 2 ways, for example, as 539447076 + 887364 = 23226^2 + 942^2 .

It is a super-2 number, since 2×5403344402 = 583922614100227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540334441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750105 + ... + 750824.

Almost surely, 2540334440 is an apocalyptic number.

It is an amenable number.

540334440 is an abundant number, since it is smaller than the sum of its proper divisors (1215753660).

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

540334440 is a wasteful number, since it uses less digits than its factorization.

540334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500946 (or 1500939 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 540334440 is about 23245.0949664655. The cubic root of 540334440 is about 814.4933632155.

Adding to 540334440 its reverse (44433045), we get a palindrome (584767485).

The spelling of 540334440 in words is "five hundred forty million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1500929 3001858 4502787 6003716 7504645 9005574 12007432 13508361 15009290 18011148 22513935 27016722 30018580 36022296 45027870 54033444 60037160 67541805 90055740 108066888 135083610 180111480 270167220 540334440