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3000422320 = 245733116187
BaseRepresentation
bin1011001011010110…
…1100111110110000
321202002211020122121
42302311230332300
522121102003240
61213421244024
7134232111640
oct26265547660
97662736577
103000422320
1112aa729775
126b8a03614
1338a80182c
142066b6520
1512862904a
hexb2d6cfb0

3000422320 has 80 divisors (see below), whose sum is σ = 7997131008. Its totient is φ = 1025544960.

The previous prime is 3000422281. The next prime is 3000422323. The reversal of 3000422320 is 232240003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3000422294 and 3000422303.

It is not an unprimeable number, because it can be changed into a prime (3000422323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177267 + ... + 193453.

Almost surely, 23000422320 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 3000422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998565504).

3000422320 is an abundant number, since it is smaller than the sum of its proper divisors (4996708688).

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

3000422320 is a wasteful number, since it uses less digits than its factorization.

3000422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16538 (or 16532 counting only the distinct ones).

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

The square root of 3000422320 is about 54776.1108513556. The cubic root of 3000422320 is about 1442.3172438918.

Adding to 3000422320 its reverse (232240003), we get a palindrome (3232662323).

The spelling of 3000422320 in words is "three billion, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 331 560 662 1324 1655 2317 2648 3310 4634 5296 6620 9268 11585 13240 16187 18536 23170 26480 32374 37072 46340 64748 80935 92680 113309 129496 161870 185360 226618 258992 323740 453236 566545 647480 906472 1133090 1294960 1812944 2266180 4532360 5357897 9064720 10715794 21431588 26789485 37505279 42863176 53578970 75010558 85726352 107157940 150021116 187526395 214315880 300042232 375052790 428631760 600084464 750105580 1500211160 3000422320