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516343000 = 2353836221
BaseRepresentation
bin11110110001101…
…100010011011000
31022222120221102211
4132301230103120
52024140434000
6123123004504
715536562115
oct3661542330
91288527384
10516343000
1124550a158
12124b09734
1382c87b04
144c80b90c
15304e57ba
hex1ec6c4d8

516343000 has 64 divisors (see below), whose sum is σ = 1222996320. Its totient is φ = 204016000.

The previous prime is 516342997. The next prime is 516343001. The reversal of 516343000 is 343615.

It is a super-2 number, since 2×5163430002 = 533220187298000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516343001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79890 + ... + 86110.

Almost surely, 2516343000 is an apocalyptic number.

516343000 is a gapful number since it is divisible by the number (50) 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 516343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611498160).

516343000 is an abundant number, since it is smaller than the sum of its proper divisors (706653320).

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

516343000 is a wasteful number, since it uses less digits than its factorization.

516343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 516343000 is about 22723.1819954865. The cubic root of 516343000 is about 802.2556134495.

Adding to 516343000 its reverse (343615), we get a palindrome (516686615).

The spelling of 516343000 in words is "five hundred sixteen million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 6221 8300 10375 12442 16600 20750 24884 31105 41500 49768 62210 83000 124420 155525 248840 311050 516343 622100 777625 1032686 1244200 1555250 2065372 2581715 3110500 4130744 5163430 6221000 10326860 12908575 20653720 25817150 51634300 64542875 103268600 129085750 258171500 516343000