Search a number
-
+
30918408 = 23329311433
BaseRepresentation
bin111010111110…
…0011100001000
32011011211002020
41311330130020
530403342113
63022404440
7523542063
oct165743410
964154066
1030918408
11164a8504
12a430720
136537021
14416b8da
152aab023
hex1d7c708

30918408 has 64 divisors (see below), whose sum is σ = 82598400. Its totient is φ = 9623040.

The previous prime is 30918389. The next prime is 30918409. The reversal of 30918408 is 80481903.

It is not an unprimeable number, because it can be changed into a prime (30918409) 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 15 ways as a sum of consecutive naturals, for example, 20860 + ... + 22292.

It is an arithmetic number, because the mean of its divisors is an integer number (1290600).

Almost surely, 230918408 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 30918408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41299200).

30918408 is an abundant number, since it is smaller than the sum of its proper divisors (51679992).

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

30918408 is a wasteful number, since it uses less digits than its factorization.

30918408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30918408 is about 5560.4323572902. The cubic root of 30918408 is about 313.8622192927.

The spelling of 30918408 in words is "thirty million, nine hundred eighteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1433 1798 2697 2866 3596 4299 5394 5732 7192 8598 10788 11464 17196 21576 34392 41557 44423 83114 88846 124671 133269 166228 177692 249342 266538 332456 355384 498684 533076 997368 1066152 1288267 2576534 3864801 5153068 7729602 10306136 15459204 30918408