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540304350 = 235234910321
BaseRepresentation
bin100000001101000…
…110001111011110
31101122200022020020
4200031012033132
52101304214400
6125340333010
716250340225
oct4015061736
91348608206
10540304350
11257a95723
12130b44166
1387c27321
1451a87cbc
153267a2a0
hex203463de

540304350 has 48 divisors (see below), whose sum is σ = 1343924400. Its totient is φ = 143654400.

The previous prime is 540304337. The next prime is 540304381. The reversal of 540304350 is 53403045.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 540304350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47190 + ... + 57510.

It is an arithmetic number, because the mean of its divisors is an integer number (27998425).

Almost surely, 2540304350 is an apocalyptic number.

540304350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540304350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671962200).

540304350 is an abundant number, since it is smaller than the sum of its proper divisors (803620050).

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

540304350 is a wasteful number, since it uses less digits than its factorization.

540304350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 540304350 is about 23244.4477241340. The cubic root of 540304350 is about 814.4782438385.

Adding to 540304350 its reverse (53403045), we get a palindrome (593707395).

The spelling of 540304350 in words is "five hundred forty million, three hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 349 698 1047 1745 2094 3490 5235 8725 10321 10470 17450 20642 26175 30963 51605 52350 61926 103210 154815 258025 309630 516050 774075 1548150 3602029 7204058 10806087 18010145 21612174 36020290 54030435 90050725 108060870 180101450 270152175 540304350