Search a number
-
+
1481474304 = 28326183127
BaseRepresentation
bin101100001001101…
…1000000100000000
310211020122200200200
41120103120010000
511013224134204
6403001045200
751466216032
oct13023300400
93736580620
101481474304
116a0287632
12354186800
131a7c06c1b
14100a7dc52
158a0da539
hex584d8100

1481474304 has 216 divisors, whose sum is σ = 4428383232. Its totient is φ = 476098560.

The previous prime is 1481474303. The next prime is 1481474311. The reversal of 1481474304 is 4034741841.

It is a happy number.

It is a super-2 number, since 2×14814743042 = 4389532226824568832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1481474303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11665089 + ... + 11665215.

Almost surely, 21481474304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214191616).

1481474304 is an abundant number, since it is smaller than the sum of its proper divisors (2946908928).

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

1481474304 is a wasteful number, since it uses less digits than its factorization.

1481474304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1481474304 is about 38489.9247076426. The cubic root of 1481474304 is about 1139.9821234501.

The spelling of 1481474304 in words is "one billion, four hundred eighty-one million, four hundred seventy-four thousand, three hundred four".