Search a number
-
+
30227904 = 26347317
BaseRepresentation
bin111001101001…
…1110111000000
32002212201220000
41303103313000
530214243104
62555520000
7514635000
oct163236700
962781800
1030227904
1116076743
12a159000
136354945
14402c000
1529c1639
hex1cd3dc0

30227904 has 280 divisors, whose sum is σ = 110642400. Its totient is φ = 8128512.

The previous prime is 30227893. The next prime is 30227929. The reversal of 30227904 is 40972203.

30227904 = 423 + 433 + ... + 1053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1778104 + ... + 1778120.

Almost surely, 230227904 is an apocalyptic number.

30227904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55321200).

30227904 is an abundant number, since it is smaller than the sum of its proper divisors (80414496).

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

30227904 is an equidigital number, since it uses as much as digits as its factorization.

30227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30227904 is about 5497.9909057764. The cubic root of 30227904 is about 311.5081006184.

The spelling of 30227904 in words is "thirty million, two hundred twenty-seven thousand, nine hundred four".