Search a number
-
+
3004253100 = 22325223145133
BaseRepresentation
bin1011001100010001…
…0100001110101100
321202101000212111100
42303010110032230
522123042044400
61214035323100
7134306505252
oct26304241654
97671025440
103004253100
111301905902
126ba150490
1338b543374
14206dd25d2
15128b34100
hexb31143ac

3004253100 has 108 divisors (see below), whose sum is σ = 9826152336. Its totient is φ = 766296960.

The previous prime is 3004253089. The next prime is 3004253137. The reversal of 3004253100 is 13524003.

It is a super-2 number, since 2×30042531002 = 18051073377719220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51867 + ... + 93266.

It is an arithmetic number, because the mean of its divisors is an integer number (90982892).

Almost surely, 23004253100 is an apocalyptic number.

3004253100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004253100 is an abundant number, since it is smaller than the sum of its proper divisors (6821899236).

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

3004253100 is a wasteful number, since it uses less digits than its factorization.

3004253100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145176 (or 145166 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3004253100 is about 54811.0673130892. The cubic root of 3004253100 is about 1442.9308075507.

Adding to 3004253100 its reverse (13524003), we get a palindrome (3017777103).

The spelling of 3004253100 in words is "three billion, four million, two hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 145133 290266 435399 580532 725665 870798 1306197 1451330 1741596 2176995 2612394 2902660 3338059 3628325 4353990 5224788 6530985 6676118 7256650 8707980 10014177 10884975 13061970 13352236 14513300 16690295 20028354 21769950 26123940 30042531 32654925 33380590 40056708 43539900 50070885 60085062 65309850 66761180 83451475 100141770 120170124 130619700 150212655 166902950 200283540 250354425 300425310 333805900 500708850 600850620 751063275 1001417700 1502126550 3004253100