Search a number
-
+
30379408 = 2417671667
BaseRepresentation
bin111001111100…
…0110110010000
32010011102201021
41303320312100
530234120113
63003045224
7516135463
oct163706620
963142637
1030379408
111616a554
12a210814
1363a88a7
14406b2da
152a0148d
hex1cf8d90

30379408 has 40 divisors (see below), whose sum is σ = 63290592. Its totient is φ = 14074368.

The previous prime is 30379397. The next prime is 30379417. The reversal of 30379408 is 80497303.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 17391 + ... + 19057.

Almost surely, 230379408 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 30379408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31645296).

30379408 is an abundant number, since it is smaller than the sum of its proper divisors (32911184).

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

30379408 is a wasteful number, since it uses less digits than its factorization.

30379408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 30379408 is about 5511.7518086358. The cubic root of 30379408 is about 312.0276657475.

The spelling of 30379408 in words is "thirty million, three hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 1667 2278 3334 4556 6668 9112 13336 18224 26672 28339 56678 111689 113356 223378 226712 446756 453424 893512 1787024 1898713 3797426 7594852 15189704 30379408