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540351312 = 24320395521
BaseRepresentation
bin100000001101010…
…001101101010000
31101122202200122120
4200031101231100
52101312220222
6125341334240
716250624154
oct4015215520
91348680576
10540351312
11258017a36
12130b67380
1387c42807
1451a9b064
153268915c
hex20351b50

540351312 has 40 divisors (see below), whose sum is σ = 1396845120. Its totient is φ = 179996160.

The previous prime is 540351281. The next prime is 540351347. The reversal of 540351312 is 213153045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95112 + ... + 100632.

It is an arithmetic number, because the mean of its divisors is an integer number (34921128).

Almost surely, 2540351312 is an apocalyptic number.

It is an amenable number.

540351312 is an abundant number, since it is smaller than the sum of its proper divisors (856493808).

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

540351312 is a wasteful number, since it uses less digits than its factorization.

540351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 540351312 is about 23245.4578789061. The cubic root of 540351312 is about 814.5018406744.

The spelling of 540351312 in words is "five hundred forty million, three hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2039 4078 5521 6117 8156 11042 12234 16312 16563 22084 24468 32624 33126 44168 48936 66252 88336 97872 132504 265008 11257319 22514638 33771957 45029276 67543914 90058552 135087828 180117104 270175656 540351312