Search a number
-
+
3000040400 = 245271071443
BaseRepresentation
bin1011001011010000…
…1111101111010000
321202002002211202102
42302310033233100
522121002243100
61213405135532
7134225631320
oct26264175720
97662084672
103000040400
1112aa498835
126b885a5a8
1338a6c9a46
14206617280
151285a0cd5
hexb2d0fbd0

3000040400 has 60 divisors (see below), whose sum is σ = 8237261472. Its totient is φ = 1028584320.

The previous prime is 3000040387. The next prime is 3000040403. The reversal of 3000040400 is 40400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000040403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532922 + ... + 538521.

Almost surely, 23000040400 is an apocalyptic number.

It is an amenable number.

3000040400 is an abundant number, since it is smaller than the sum of its proper divisors (5237221072).

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

3000040400 is a wasteful number, since it uses less digits than its factorization.

3000040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071468 (or 1071457 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3000040400 is about 54772.6245491304. The cubic root of 3000040400 is about 1442.2560443764.

Adding to 3000040400 its reverse (40400003), we get a palindrome (3040440403).

The spelling of 3000040400 in words is "three billion, forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 1071443 2142886 4285772 5357215 7500101 8571544 10714430 15000202 17143088 21428860 26786075 30000404 37500505 42857720 53572150 60000808 75001010 85715440 107144300 120001616 150002020 187502525 214288600 300004040 375005050 428577200 600008080 750010100 1500020200 3000040400