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3000054024 = 233411974339
BaseRepresentation
bin1011001011010001…
…0011000100001000
321202002010112110000
42302310103010020
522121003212044
61213405323000
7134226016122
oct26264230410
97662115400
103000054024
1112aa4a7aa0
126b8866460
1338a702cc6
1420661c212
151285a4d69
hexb2d13108

3000054024 has 160 divisors (see below), whose sum is σ = 9263469600. Its totient is φ = 899527680.

The previous prime is 3000053977. The next prime is 3000054049. The reversal of 3000054024 is 4204500003.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3000053988 and 3000054006.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689247 + ... + 693585.

It is an arithmetic number, because the mean of its divisors is an integer number (57896685).

Almost surely, 23000054024 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 3000054024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631734800).

3000054024 is an abundant number, since it is smaller than the sum of its proper divisors (6263415576).

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

3000054024 is a wasteful number, since it uses less digits than its factorization.

3000054024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3000054024 is about 54772.7489176872. The cubic root of 3000054024 is about 1442.2582275989.

Adding to 3000054024 its reverse (4204500003), we get a palindrome (7204554027).

The spelling of 3000054024 in words is "three billion, fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 97 99 108 132 162 194 198 216 264 291 297 324 388 396 582 594 648 776 792 873 891 1067 1164 1188 1746 1782 2134 2328 2376 2619 3201 3492 3564 4268 4339 5238 6402 6984 7128 7857 8536 8678 9603 10476 12804 13017 15714 17356 19206 20952 25608 26034 28809 31428 34712 38412 39051 47729 52068 57618 62856 76824 78102 86427 95458 104136 115236 117153 143187 156204 172854 190916 230472 234306 286374 312408 345708 351459 381832 420883 429561 468612 572748 691416 702918 841766 859122 937224 1145496 1262649 1288683 1405836 1683532 1718244 2525298 2577366 2811672 3367064 3436488 3787947 3866049 4629713 5050596 5154732 7575894 7732098 9259426 10101192 10309464 11363841 13889139 15151788 15464196 18518852 22727682 27778278 30303576 30928392 34091523 37037704 41667417 45455364 55556556 68183046 83334834 90910728 111113112 125002251 136366092 166669668 250004502 272732184 333339336 375006753 500009004 750013506 1000018008 1500027012 3000054024