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3001311320 = 235736729207
BaseRepresentation
bin1011001011100100…
…0110000001011000
321202011111102010112
42302321012001120
522121313430240
61213452303452
7134242503530
oct26271060130
97664442115
103001311320
111300186687
126b9171b88
1338aa53377
142068684c0
15128752665
hexb2e46058

3001311320 has 64 divisors (see below), whose sum is σ = 7738951680. Its totient is φ = 1026182016.

The previous prime is 3001311317. The next prime is 3001311323. The reversal of 3001311320 is 231131003.

It is an interprime number because it is at equal distance from previous prime (3001311317) and next prime (3001311323).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3001311295 and 3001311304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001311323) 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 15 ways as a sum of consecutive naturals, for example, 88157 + ... + 117363.

It is an arithmetic number, because the mean of its divisors is an integer number (120921120).

Almost surely, 23001311320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869475840).

3001311320 is an abundant number, since it is smaller than the sum of its proper divisors (4737640360).

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

3001311320 is a wasteful number, since it uses less digits than its factorization.

3001311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29592 (or 29588 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3001311320 is about 54784.2251017572. The cubic root of 3001311320 is about 1442.4596786645.

Adding to 3001311320 its reverse (231131003), we get a palindrome (3232442323).

The spelling of 3001311320 in words is "three billion, one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 367 734 1468 1835 2569 2936 3670 5138 7340 10276 12845 14680 20552 25690 29207 51380 58414 102760 116828 146035 204449 233656 292070 408898 584140 817796 1022245 1168280 1635592 2044490 4088980 8177960 10718969 21437938 42875876 53594845 75032783 85751752 107189690 150065566 214379380 300131132 375163915 428758760 600262264 750327830 1500655660 3001311320