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3001264020 = 2232523821883
BaseRepresentation
bin1011001011100011…
…1010011110010100
321202011102000020200
42302320322132110
522121310422040
61213451300500
7134242215606
oct26270723624
97664360220
103001264020
111300154097
126b914a730
1338aa37991
14206855176
15128743630
hexb2e3a794

3001264020 has 144 divisors (see below), whose sum is σ = 9521995392. Its totient is φ = 763741440.

The previous prime is 3001264003. The next prime is 3001264033. The reversal of 3001264020 is 204621003.

It is a happy number.

3001264020 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 2 + 640 + 20 = 666.

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 = 3001263984 and 3001264002.

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 47 ways as a sum of consecutive naturals, for example, 3398499 + ... + 3399381.

It is an arithmetic number, because the mean of its divisors is an integer number (66124968).

Almost surely, 23001264020 is an apocalyptic number.

3001264020 is a gapful number since it is divisible by the number (30) 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 3001264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760997696).

3001264020 is an abundant number, since it is smaller than the sum of its proper divisors (6520731372).

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

3001264020 is a wasteful number, since it uses less digits than its factorization.

3001264020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3001264020 is about 54783.7934064446. The cubic root of 3001264020 is about 1442.4521010100.

Adding to 3001264020 its reverse (204621003), we get a palindrome (3205885023).

The spelling of 3001264020 in words is "three billion, one million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 821 828 883 1035 1380 1642 1766 2070 2463 2649 3284 3532 4105 4140 4415 4926 5298 7389 7947 8210 8830 9852 10596 12315 13245 14778 15894 16420 17660 18883 20309 24630 26490 29556 31788 36945 37766 39735 40618 49260 52980 56649 60927 73890 75532 79470 81236 94415 101545 113298 121854 147780 158940 169947 182781 188830 203090 226596 243708 283245 304635 339894 365562 377660 406180 566490 609270 679788 724943 731124 849735 913905 1132980 1218540 1449886 1699470 1827810 2174829 2899772 3398940 3624715 3655620 4349658 6524487 7249430 8699316 10874145 13048974 14498860 16673689 21748290 26097948 32622435 33347378 43496580 50021067 65244870 66694756 83368445 100042134 130489740 150063201 166736890 200084268 250105335 300126402 333473780 500210670 600252804 750316005 1000421340 1500632010 3001264020