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512030304 = 253241103421
BaseRepresentation
bin11110100001001…
…111011001100000
31022200110211112100
4132201033121200
52022034432204
6122450330400
715455120502
oct3641173140
91280424470
10512030304
11243033a45
12123589a00
1382107b16
144c007d72
152ee42a39
hex1e84f660

512030304 has 144 divisors (see below), whose sum is σ = 1509659424. Its totient is φ = 164505600.

The previous prime is 512030303. The next prime is 512030329. The reversal of 512030304 is 403030215.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512030303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216014 + ... + 1216434.

It is an arithmetic number, because the mean of its divisors is an integer number (10483746).

Almost surely, 2512030304 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 512030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754829712).

512030304 is an abundant number, since it is smaller than the sum of its proper divisors (997629120).

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

512030304 is a wasteful number, since it uses less digits than its factorization.

512030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 512030304 is about 22628.0866181832. The cubic root of 512030304 is about 800.0157830220.

Adding to 512030304 its reverse (403030215), we get a palindrome (915060519).

The spelling of 512030304 in words is "five hundred twelve million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 103 123 144 164 206 246 288 309 328 369 412 421 492 618 656 738 824 842 927 984 1236 1263 1312 1476 1648 1684 1854 1968 2472 2526 2952 3296 3368 3708 3789 3936 4223 4944 5052 5904 6736 7416 7578 8446 9888 10104 11808 12669 13472 14832 15156 16892 17261 20208 25338 29664 30312 33784 34522 38007 40416 43363 50676 51783 60624 67568 69044 76014 86726 101352 103566 121248 130089 135136 138088 152028 155349 173452 202704 207132 260178 276176 304056 310698 346904 390267 405408 414264 520356 552352 608112 621396 693808 780534 828528 1040712 1216224 1242792 1387616 1561068 1657056 1777883 2081424 2485584 3122136 3555766 4162848 4971168 5333649 6244272 7111532 10667298 12488544 14223064 16000947 21334596 28446128 32001894 42669192 56892256 64003788 85338384 128007576 170676768 256015152 512030304