Search a number
-
+
3301414020 = 22325231395737
BaseRepresentation
bin1100010011000111…
…1001010010000100
322112002012012122100
43010301321102010
523230130222040
61303332432100
7144545361522
oct30461712204
98462165570
103301414020
111444620243
12781778630
13407c88b28
14234667312
15144c81b30
hexc4c79484

3301414020 has 144 divisors (see below), whose sum is σ = 10526705280. Its totient is φ = 835895808.

The previous prime is 3301414007. The next prime is 3301414021. The reversal of 3301414020 is 204141033.

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 = 3301413984 and 3301414002.

It is not an unprimeable number, because it can be changed into a prime (3301414021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572592 + ... + 578328.

It is an arithmetic number, because the mean of its divisors is an integer number (73102120).

Almost surely, 23301414020 is an apocalyptic number.

3301414020 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 3301414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263352640).

3301414020 is an abundant number, since it is smaller than the sum of its proper divisors (7225291260).

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

3301414020 is a wasteful number, since it uses less digits than its factorization.

3301414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5909 counting only the distinct ones).

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

The square root of 3301414020 is about 57457.9326116073. The cubic root of 3301414020 is about 1489.0181691370.

Adding to 3301414020 its reverse (204141033), we get a palindrome (3505555053).

The spelling of 3301414020 in words is "three billion, three hundred one million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 139 180 207 230 276 278 345 414 417 460 556 690 695 828 834 1035 1251 1380 1390 1668 2070 2085 2502 2780 3197 4140 4170 5004 5737 6255 6394 8340 9591 11474 12510 12788 15985 17211 19182 22948 25020 28685 28773 31970 34422 38364 47955 51633 57370 57546 63940 68844 86055 95910 103266 114740 115092 131951 143865 172110 191820 206532 258165 263902 287730 344220 395853 516330 527804 575460 659755 791706 797443 1032660 1187559 1319510 1583412 1594886 1979265 2375118 2392329 2639020 3189772 3958530 3987215 4750236 4784658 5937795 7176987 7917060 7974430 9569316 11875590 11961645 14353974 15948860 18341189 23751180 23923290 28707948 35884935 36682378 47846580 55023567 71769870 73364756 91705945 110047134 143539740 165070701 183411890 220094268 275117835 330141402 366823780 550235670 660282804 825353505 1100471340 1650707010 3301414020