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530348310 = 23453121121
BaseRepresentation
bin11111100111000…
…111100100010110
31100221221111010000
4133213013210112
52041232121220
6124343112130
716066612662
oct3747074426
91327844100
10530348310
11252405598
12129742646
1385b4c78b
14506158a2
1531860390
hex1f9c7916

530348310 has 80 divisors (see below), whose sum is σ = 1472118912. Its totient is φ = 136857600.

The previous prime is 530348293. The next prime is 530348323. The reversal of 530348310 is 13843035.

It is a happy number.

530348310 is a `hidden beast` number, since 5 + 3 + 0 + 348 + 310 = 666.

It is a super-3 number, since 3×5303483103 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14550 + ... + 35670.

Almost surely, 2530348310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530348310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736059456).

530348310 is an abundant number, since it is smaller than the sum of its proper divisors (941770602).

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

530348310 is a wasteful number, since it uses less digits than its factorization.

530348310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21171 (or 21162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 530348310 is about 23029.2924337679. The cubic root of 530348310 is about 809.4444750567. Note that the first 4 decimals are identical.

The spelling of 530348310 in words is "five hundred thirty million, three hundred forty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 21121 25110 42242 63363 105605 126726 190089 211210 316815 380178 570267 633630 654751 950445 1140534 1309502 1710801 1900890 1964253 2851335 3273755 3421602 3928506 5702670 5892759 6547510 8554005 9821265 11785518 17108010 17678277 19642530 29463795 35356554 53034831 58927590 88391385 106069662 176782770 265174155 530348310