Search a number
-
+
3004145400 = 233525006909
BaseRepresentation
bin1011001100001111…
…1001111011111000
321202100211101202110
42303003321323320
522123030123100
61214033132320
7134305546254
oct26303717370
97670741673
103004145400
1113018419a3
126ba0ba0a0
1338b506339
14206da5264
15128b12250
hexb30f9ef8

3004145400 has 48 divisors (see below), whose sum is σ = 9312852600. Its totient is φ = 801105280.

The previous prime is 3004145383. The next prime is 3004145401. The reversal of 3004145400 is 45414003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004145401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502855 + ... + 2504054.

Almost surely, 23004145400 is an apocalyptic number.

3004145400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004145400 is an abundant number, since it is smaller than the sum of its proper divisors (6308707200).

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

3004145400 is a wasteful number, since it uses less digits than its factorization.

3004145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006928 (or 5006919 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3004145400 is about 54810.0848384675. The cubic root of 3004145400 is about 1442.9135647175.

Adding to 3004145400 its reverse (45414003), we get a palindrome (3049559403).

The spelling of 3004145400 in words is "three billion, four million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5006909 10013818 15020727 20027636 25034545 30041454 40055272 50069090 60082908 75103635 100138180 120165816 125172725 150207270 200276360 250345450 300414540 375518175 500690900 600829080 751036350 1001381800 1502072700 3004145400