Search a number
-
+
3027430400 = 21052118259
BaseRepresentation
bin1011010001110010…
…1110110000000000
321210222122101202212
42310130232300000
522200010233100
61220224201252
7135010506461
oct26434566000
97728571685
103027430400
1113139a62a5
12705a69228
13393299a47
1420a106d68
1512abb1635
hexb472ec00

3027430400 has 66 divisors (see below), whose sum is σ = 7504424820. Its totient is φ = 1210961920.

The previous prime is 3027430381. The next prime is 3027430409. The reversal of 3027430400 is 40347203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3027430409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33530 + ... + 84729.

Almost surely, 23027430400 is an apocalyptic number.

It is an amenable number.

3027430400 is an abundant number, since it is smaller than the sum of its proper divisors (4476994420).

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

3027430400 is a wasteful number, since it uses less digits than its factorization.

3027430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118289 (or 118266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 3027430400 is about 55022.0901093370. The cubic root of 3027430400 is about 1446.6319608664.

Adding to 3027430400 its reverse (40347203), we get a palindrome (3067777603).

The spelling of 3027430400 in words is "three billion, twenty-seven million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 118259 236518 473036 591295 946072 1182590 1892144 2365180 2956475 3784288 4730360 5912950 7568576 9460720 11825900 15137152 18921440 23651800 30274304 37842880 47303600 60548608 75685760 94607200 121097216 151371520 189214400 302743040 378428800 605486080 756857600 1513715200 3027430400