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3003004420 = 22513591631201
BaseRepresentation
bin1011001011111110…
…0011011000000100
321202021200102121221
42302333203120010
522122232120140
61213552450124
7134263054633
oct26277433004
97667612557
103003004420
111301132739
126b9849944
1338b1c6bc0
14206b8951a
1512898914a
hexb2fe3604

3003004420 has 96 divisors (see below), whose sum is σ = 6954675840. Its totient is φ = 1082419200.

The previous prime is 3003004339. The next prime is 3003004421. The reversal of 3003004420 is 244003003.

3003004420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3003004394 and 3003004403.

It is not an unprimeable number, because it can be changed into a prime (3003004421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2499820 + ... + 2501020.

It is an arithmetic number, because the mean of its divisors is an integer number (72444540).

Almost surely, 23003004420 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 3003004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477337920).

3003004420 is an abundant number, since it is smaller than the sum of its proper divisors (3951671420).

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

3003004420 is a wasteful number, since it uses less digits than its factorization.

3003004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3003004420 is about 54799.6753640019. The cubic root of 3003004420 is about 1442.7308678358.

Adding to 3003004420 its reverse (244003003), we get a palindrome (3247007423).

The spelling of 3003004420 in words is "three billion, three million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 163 236 260 295 326 590 652 767 815 1180 1201 1534 1630 2119 2402 3068 3260 3835 4238 4804 6005 7670 8476 9617 10595 12010 15340 15613 19234 21190 24020 31226 38468 42380 48085 62452 70859 78065 96170 125021 141718 156130 192340 195763 250042 283436 312260 354295 391526 500084 625105 708590 783052 921167 978815 1250210 1417180 1842334 1957630 2500420 2544919 3684668 3915260 4605835 5089838 9211670 10179676 11550017 12724595 18423340 23100034 25449190 46200068 50898380 57750085 115500170 150150221 231000340 300300442 600600884 750751105 1501502210 3003004420