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3004242020 = 2251327911251
BaseRepresentation
bin1011001100010001…
…0001100001100100
321202101000022021222
42303010101201210
522123041221040
61214035155512
7134306431043
oct26304214144
97671008258
103004242020
1113018a854a
126ba145b98
1338b53b300
14206dcc55a
15128b30bb5
hexb3111864

3004242020 has 72 divisors (see below), whose sum is σ = 6918629760. Its totient is φ = 1095120000.

The previous prime is 3004242013. The next prime is 3004242029. The reversal of 3004242020 is 202424003.

It is a super-2 number, since 2×30042420202 = 18050940229467360800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3004242020.

It is not an unprimeable number, because it can be changed into a prime (3004242029) 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, 261395 + ... + 272645.

It is an arithmetic number, because the mean of its divisors is an integer number (96092080).

Almost surely, 23004242020 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 3004242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459314880).

3004242020 is an abundant number, since it is smaller than the sum of its proper divisors (3914387740).

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

3004242020 is a wasteful number, since it uses less digits than its factorization.

3004242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3004242020 is about 54810.9662385184. The cubic root of 3004242020 is about 1442.9290336552.

Adding to 3004242020 its reverse (202424003), we get a palindrome (3206666023).

The spelling of 3004242020 in words is "three billion, four million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 169 260 316 338 395 676 790 845 1027 1580 1690 2054 3380 4108 5135 10270 11251 13351 20540 22502 26702 45004 53404 56255 66755 112510 133510 146263 225020 267020 292526 585052 731315 888829 1462630 1777658 1901419 2925260 3555316 3802838 4444145 7605676 8888290 9507095 11554777 17776580 19014190 23109554 38028380 46219108 57773885 115547770 150212101 231095540 300424202 600848404 751060505 1502121010 3004242020