Search a number
-
+
30846480 = 2435724361
BaseRepresentation
bin111010110101…
…0111000010000
32011001011102020
41311222320100
530344041410
63021051440
7523122300
oct165527020
964034366
1030846480
1116459465
12a3b6b80
136510372
14414d600
152a94a70
hex1d6ae10

30846480 has 240 divisors, whose sum is σ = 115689024. Its totient is φ = 6773760.

The previous prime is 30846479. The next prime is 30846521. The reversal of 30846480 is 8464803.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505650 + ... + 505710.

Almost surely, 230846480 is an apocalyptic number.

30846480 is a gapful number since it is divisible by the number (30) 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 30846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844512).

30846480 is an abundant number, since it is smaller than the sum of its proper divisors (84842544).

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

30846480 is a wasteful number, since it uses less digits than its factorization.

30846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 30846480 is about 5553.9607488710. The cubic root of 30846480 is about 313.6186425992.

The spelling of 30846480 in words is "thirty million, eight hundred forty-six thousand, four hundred eighty".