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3068949900 = 2235259832089
BaseRepresentation
bin1011011011101100…
…0111010110001100
321220212202210211010
42312323013112030
522241122344100
61224310125220
7136023433542
oct26673072614
97825683733
103068949900
111335384535
12717950810
1339ba760b3
14211833d92
1512e663750
hexb6ec758c

3068949900 has 144 divisors (see below), whose sum is σ = 9143164800. Its totient is φ = 794442240.

The previous prime is 3068949889. The next prime is 3068949907. The reversal of 3068949900 is 99498603.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3068949900.

It is not an unprimeable number, because it can be changed into a prime (3068949907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468056 + ... + 1470144.

It is an arithmetic number, because the mean of its divisors is an integer number (63494200).

Almost surely, 23068949900 is an apocalyptic number.

3068949900 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 3068949900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571582400).

3068949900 is an abundant number, since it is smaller than the sum of its proper divisors (6074214900).

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

3068949900 is a wasteful number, since it uses less digits than its factorization.

3068949900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3068949900 is about 55398.1037581613. The cubic root of 3068949900 is about 1453.2152038813.

The spelling of 3068949900 in words is "three billion, sixty-eight million, nine hundred forty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 83 100 118 150 166 177 236 249 295 300 332 354 415 498 590 708 830 885 996 1180 1245 1475 1660 1770 2075 2089 2490 2950 3540 4150 4178 4425 4897 4980 5900 6225 6267 8300 8356 8850 9794 10445 12450 12534 14691 17700 19588 20890 24485 24900 25068 29382 31335 41780 48970 52225 58764 62670 73455 97940 104450 122425 123251 125340 146910 156675 173387 208900 244850 246502 293820 313350 346774 367275 369753 489700 493004 520161 616255 626700 693548 734550 739506 866935 1040322 1232510 1469100 1479012 1733870 1848765 2080644 2465020 2600805 3081275 3467740 3697530 4334675 5201610 6162550 7395060 8669350 9243825 10229833 10403220 12325100 13004025 17338700 18487650 20459666 26008050 30689499 36975300 40919332 51149165 52016100 61378998 102298330 122757996 153447495 204596660 255745825 306894990 511491650 613789980 767237475 1022983300 1534474950 3068949900