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540343440 = 243357132749
BaseRepresentation
bin100000001101001…
…111110010010000
31101122202021212000
4200031033302100
52101311442230
6125341234000
716250562210
oct4015176220
91348667760
10540343440
1125801202a
12130b62900
1387c3c060
1451a98240
1532686b60
hex2034fc90

540343440 has 320 divisors, whose sum is σ = 2291520000. Its totient is φ = 113965056.

The previous prime is 540343403. The next prime is 540343493. The reversal of 540343440 is 44343045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195186 + ... + 197934.

It is an arithmetic number, because the mean of its divisors is an integer number (7161000).

Almost surely, 2540343440 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 540343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760000).

540343440 is an abundant number, since it is smaller than the sum of its proper divisors (1751176560).

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

540343440 is a wasteful number, since it uses less digits than its factorization.

540343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2779 counting only the distinct ones).

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

The square root of 540343440 is about 23245.2885548878. The cubic root of 540343440 is about 814.4978853528.

Adding to 540343440 its reverse (44343045), we get a palindrome (584686485).

The spelling of 540343440 in words is "five hundred forty million, three hundred forty-three thousand, four hundred forty".