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3068064300 = 2235272363521
BaseRepresentation
bin1011011011011110…
…1111001000101100
321220211002211000010
42312313233020230
522240411024200
61224235133220
7136013054610
oct26667571054
97824084003
103068064300
11133492a134
127175a4210
1339b825c82
14211683340
1512e53b150
hexb6def22c

3068064300 has 144 divisors (see below), whose sum is σ = 10586322432. Its totient is φ = 670771200.

The previous prime is 3068064289. The next prime is 3068064331. The reversal of 3068064300 is 34608603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16540 + ... + 80060.

It is an arithmetic number, because the mean of its divisors is an integer number (73516128).

Almost surely, 23068064300 is an apocalyptic number.

3068064300 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 3068064300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293161216).

3068064300 is an abundant number, since it is smaller than the sum of its proper divisors (7518258132).

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

3068064300 is a wasteful number, since it uses less digits than its factorization.

3068064300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63568 (or 63561 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3068064300 is about 55390.1101280725. The cubic root of 3068064300 is about 1453.0754067477.

The spelling of 3068064300 in words is "three billion, sixty-eight million, sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 63521 127042 190563 254084 317605 381126 444647 635210 762252 889294 952815 1270420 1333941 1460983 1588025 1778588 1905630 2223235 2667882 2921966 3176050 3811260 4382949 4446470 4764075 5335764 5843932 6352100 6669705 7304915 8765898 8892940 9528150 10226881 11116175 13339410 14609830 17531796 19056300 20453762 21914745 22232350 26678820 29219660 30680643 33348525 36524575 40907524 43829490 44464700 51134405 61361286 66697050 73049150 87658980 102268810 109573725 122722572 133394100 146098300 153403215 204537620 219147450 255672025 306806430 438294900 511344050 613612860 767016075 1022688100 1534032150 3068064300