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541430352 = 243310871153
BaseRepresentation
bin100000010001011…
…001001001010000
31101201210111211000
4200101121021100
52102101232402
6125420422000
716263040101
oct4021311120
91351714730
10541430352
11258694701
121313a7900
138822c9b8
1451c9c3a8
15327edc1c
hex20459250

541430352 has 80 divisors (see below), whose sum is σ = 1556884480. Its totient is φ = 180154368.

The previous prime is 541430333. The next prime is 541430363. The reversal of 541430352 is 253034145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 469008 + ... + 470160.

It is an arithmetic number, because the mean of its divisors is an integer number (19461056).

Almost surely, 2541430352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778442240).

541430352 is an abundant number, since it is smaller than the sum of its proper divisors (1015454128).

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

541430352 is a wasteful number, since it uses less digits than its factorization.

541430352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 541430352 is about 23268.6559990043. The cubic root of 541430352 is about 815.0436460247.

Adding to 541430352 its reverse (253034145), we get a palindrome (794464497).

The spelling of 541430352 in words is "five hundred forty-one million, four hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1087 1153 2174 2306 3261 3459 4348 4612 6522 6918 8696 9224 9783 10377 13044 13836 17392 18448 19566 20754 26088 27672 29349 31131 39132 41508 52176 55344 58698 62262 78264 83016 117396 124524 156528 166032 234792 249048 469584 498096 1253311 2506622 3759933 5013244 7519866 10026488 11279799 15039732 20052976 22559598 30079464 33839397 45119196 60158928 67678794 90238392 135357588 180476784 270715176 541430352