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540314728 = 23418389223
BaseRepresentation
bin100000001101001…
…000110001101000
31101122200211110121
4200031020301220
52101310032403
6125340453024
716250412412
oct4015106150
91348624417
10540314728
11257aa24a8
12130b4a174
1387c2bc75
1451a8b9b2
153267d3bd
hex20348c68

540314728 has 64 divisors (see below), whose sum is σ = 1066867200. Its totient is φ = 256312320.

The previous prime is 540314659. The next prime is 540314777. The reversal of 540314728 is 827413045.

Together with 526552472 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 540314693 and 540314702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2422825 + ... + 2423047.

It is an arithmetic number, because the mean of its divisors is an integer number (16669800).

Almost surely, 2540314728 is an apocalyptic number.

It is an amenable number.

540314728 is a deficient number, since it is larger than the sum of its proper divisors (526552472).

540314728 is a wasteful number, since it uses less digits than its factorization.

540314728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 540314728 is about 23244.6709591683. The cubic root of 540314728 is about 814.4834585544.

The spelling of 540314728 in words is "five hundred forty million, three hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 41 82 83 89 164 166 178 223 328 332 356 446 664 712 892 1784 3403 3649 6806 7298 7387 9143 13612 14596 14774 18286 18509 19847 27224 29192 29548 36572 37018 39694 59096 73144 74036 79388 148072 158776 302867 605734 758869 813727 1211468 1517738 1627454 1647301 2422936 3035476 3254908 3294602 6070952 6509816 6589204 13178408 67539341 135078682 270157364 540314728