Search a number
-
+
3004699680 = 2532517122741
BaseRepresentation
bin1011001100011000…
…0001010000100000
321202101212120002100
42303012001100200
522123200342210
61214053050400
7134313345243
oct26306012040
97671776070
103004699680
111302090384
126ba326a00
1338b66b708
142070ab25a
15128bc15c0
hexb3181420

3004699680 has 144 divisors (see below), whose sum is σ = 10856775384. Its totient is φ = 754114560.

The previous prime is 3004699651. The next prime is 3004699681. The reversal of 3004699680 is 869964003.

It can be written as a sum of positive squares in 4 ways, for example, as 2985092496 + 19607184 = 54636^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3004699681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36891 + ... + 85850.

Almost surely, 23004699680 is an apocalyptic number.

3004699680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004699680 is an abundant number, since it is smaller than the sum of its proper divisors (7852075704).

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

3004699680 is a wasteful number, since it uses less digits than its factorization.

3004699680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122779 (or 122768 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3004699680 is about 54815.1409740046. The cubic root of 3004699680 is about 1443.0023008739.

The spelling of 3004699680 in words is "three billion, four million, six hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 122741 245482 368223 490964 613705 736446 981928 1104669 1227410 1472892 1841115 1963856 2086597 2209338 2454820 2945784 3682230 3927712 4173194 4418676 4909640 5523345 5891568 6259791 7364460 8346388 8837352 9819280 10432985 11046690 11783136 12519582 14728920 16692776 17674704 18779373 19638560 20865970 22093380 25039164 29457840 31298955 33385552 35349408 37558746 41731940 44186760 50078328 58915680 62597910 66771104 75117492 83463880 88373520 93896865 100156656 125195820 150234984 166927760 176747040 187793730 200313312 250391640 300469968 333855520 375587460 500783280 600939936 751174920 1001566560 1502349840 3004699680