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3030423120 = 243255098269
BaseRepresentation
bin1011010010100000…
…1001011001010000
321211012021110000100
42310220021121100
522201242014440
61220412252400
7135045112554
oct26450113120
97735243010
103030423120
11131565a81a
12706a71100
13393aa6c9a
1420a685864
1512b0a3230
hexb4a09650

3030423120 has 120 divisors (see below), whose sum is σ = 10198398600. Its totient is φ = 806427648.

The previous prime is 3030423091. The next prime is 3030423127. The reversal of 3030423120 is 213240303.

It can be written as a sum of positive squares in 4 ways, for example, as 1378488384 + 1651934736 = 37128^2 + 40644^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3030423093 and 3030423102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030423127) 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, 362346 + ... + 370614.

It is an arithmetic number, because the mean of its divisors is an integer number (84986655).

Almost surely, 23030423120 is an apocalyptic number.

3030423120 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 3030423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099199300).

3030423120 is an abundant number, since it is smaller than the sum of its proper divisors (7167975480).

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

3030423120 is a wasteful number, since it uses less digits than its factorization.

3030423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3030423120 is about 55049.2790143522. The cubic root of 3030423120 is about 1447.1084858439.

Adding to 3030423120 its reverse (213240303), we get a palindrome (3243663423).

The spelling of 3030423120 in words is "three billion, thirty million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 509 720 1018 1527 2036 2545 3054 4072 4581 5090 6108 7635 8144 8269 9162 10180 12216 15270 16538 18324 20360 22905 24432 24807 30540 33076 36648 40720 41345 45810 49614 61080 66152 73296 74421 82690 91620 99228 122160 124035 132304 148842 165380 183240 198456 248070 297684 330760 366480 372105 396912 496140 595368 661520 744210 992280 1190736 1488420 1984560 2976840 4208921 5953680 8417842 12626763 16835684 21044605 25253526 33671368 37880289 42089210 50507052 63133815 67342736 75760578 84178420 101014104 126267630 151521156 168356840 189401445 202028208 252535260 303042312 336713680 378802890 505070520 606084624 757605780 1010141040 1515211560 3030423120