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540952344 = 23341953829
BaseRepresentation
bin100000001111100…
…100011100011000
31101200220020010000
4200033210130120
52101440433334
6125402253000
716256006352
oct4017443430
91350806100
10540952344
11258398559
121311b7160
13880c325a
1451bb60d2
1532757299
hex203e4718

540952344 has 160 divisors (see below), whose sum is σ = 1626966000. Its totient is φ = 167401728.

The previous prime is 540952333. The next prime is 540952351. The reversal of 540952344 is 443259045.

It is a happy number.

540952344 is a `hidden beast` number, since 540 + 95 + 23 + 4 + 4 = 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 = 540952299 and 540952308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 652122 + ... + 652950.

Almost surely, 2540952344 is an apocalyptic number.

540952344 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 540952344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813483000).

540952344 is an abundant number, since it is smaller than the sum of its proper divisors (1086013656).

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

540952344 is a wasteful number, since it uses less digits than its factorization.

540952344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 540952344 is about 23258.3822309291. The cubic root of 540952344 is about 814.8037185243.

The spelling of 540952344 in words is "five hundred forty million, nine hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 81 106 108 114 152 159 162 171 212 216 228 318 324 342 424 456 477 513 636 648 684 829 954 1007 1026 1272 1368 1431 1539 1658 1908 2014 2052 2487 2862 3021 3078 3316 3816 4028 4104 4293 4974 5724 6042 6156 6632 7461 8056 8586 9063 9948 11448 12084 12312 14922 15751 17172 18126 19896 22383 24168 27189 29844 31502 34344 36252 43937 44766 47253 54378 59688 63004 67149 72504 81567 87874 89532 94506 108756 126008 131811 134298 141759 163134 175748 179064 189012 217512 263622 268596 283518 326268 351496 378024 395433 425277 527244 537192 567036 652536 790866 834803 850554 1054488 1134072 1186299 1275831 1581732 1669606 1701108 2372598 2504409 2551662 3163464 3339212 3402216 3558897 4745196 5008818 5103324 6678424 7117794 7513227 9490392 10017636 10206648 14235588 15026454 20035272 22539681 28471176 30052908 45079362 60105816 67619043 90158724 135238086 180317448 270476172 540952344