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540714744 = 233329372333
BaseRepresentation
bin100000001110101…
…010011011111000
31101200110011012000
4200032222123320
52101410332434
6125353221000
716253666553
oct4016523370
91350404160
10540714744
11258245a99
12131101760
138803c06b
1451b5369a
153270bb99
hex203aa6f8

540714744 has 128 divisors (see below), whose sum is σ = 1596456000. Its totient is φ = 169247232.

The previous prime is 540714739. The next prime is 540714761. The reversal of 540714744 is 447417045.

It is a happy number.

540714744 is a `hidden beast` number, since 540 + 71 + 4 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 540714699 and 540714708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230602 + ... + 232934.

Almost surely, 2540714744 is an apocalyptic number.

540714744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540714744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798228000).

540714744 is an abundant number, since it is smaller than the sum of its proper divisors (1055741256).

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

540714744 is a wasteful number, since it uses less digits than its factorization.

540714744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 540714744 is about 23253.2738340217. The cubic root of 540714744 is about 814.6844068962.

The spelling of 540714744 in words is "five hundred forty million, seven hundred fourteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 87 108 111 116 148 174 216 222 232 261 296 333 348 444 522 666 696 783 888 999 1044 1073 1332 1566 1998 2088 2146 2333 2664 3132 3219 3996 4292 4666 6264 6438 6999 7992 8584 9332 9657 12876 13998 18664 19314 20997 25752 27996 28971 38628 41994 55992 57942 62991 67657 77256 83988 86321 115884 125982 135314 167976 172642 202971 231768 251964 258963 270628 345284 405942 503928 517926 541256 608913 690568 776889 811884 1035852 1217826 1553778 1623768 1826739 2071704 2330667 2435652 2503309 3107556 3653478 4661334 4871304 5006618 6215112 7306956 7509927 9322668 10013236 14613912 15019854 18645336 20026472 22529781 30039708 45059562 60079416 67589343 90119124 135178686 180238248 270357372 540714744