[go: up one dir, main page]

Search a number
-
+
30504400 = 245276261
BaseRepresentation
bin111010001011…
…1010111010000
32010101210011121
41310113113100
530302120100
63005452024
7520166053
oct164272720
963353147
1030504400
1116245453
12a271014
136420754
1440a0a9a
152a2851a
hex1d175d0

30504400 has 30 divisors (see below), whose sum is σ = 73287782. Its totient is φ = 12201600.

The previous prime is 30504379. The next prime is 30504401. The reversal of 30504400 is 440503.

It can be written as a sum of positive squares in 3 ways, for example, as 1860496 + 28643904 = 1364^2 + 5352^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30504401) 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, 37731 + ... + 38530.

Almost surely, 230504400 is an apocalyptic number.

It is an amenable number.

30504400 is an abundant number, since it is smaller than the sum of its proper divisors (42783382).

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

30504400 is a wasteful number, since it uses less digits than its factorization.

30504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76279 (or 76268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 30504400 is about 5523.0788515103. The cubic root of 30504400 is about 312.4550121905.

Adding to 30504400 its reverse (440503), we get a palindrome (30944903).

The spelling of 30504400 in words is "thirty million, five hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 76261 152522 305044 381305 610088 762610 1220176 1525220 1906525 3050440 3813050 6100880 7626100 15252200 30504400