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30269968 = 242989733
BaseRepresentation
bin111001101111…
…0001000010000
32002221212120221
41303132020100
530222114333
63000442424
7515201431
oct163361020
962855527
1030269968
11160a5303
12a179414
13636ab31
14403d488
1529cdd2d
hex1cde210

30269968 has 40 divisors (see below), whose sum is σ = 61435800. Its totient is φ = 14429184.

The previous prime is 30269957. The next prime is 30269971. The reversal of 30269968 is 86996203.

It can be written as a sum of positive squares in 4 ways, for example, as 8479744 + 21790224 = 2912^2 + 4668^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40930 + ... + 41662.

It is an arithmetic number, because the mean of its divisors is an integer number (1535895).

Almost surely, 230269968 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 30269968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30717900).

30269968 is an abundant number, since it is smaller than the sum of its proper divisors (31165832).

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

30269968 is a wasteful number, since it uses less digits than its factorization.

30269968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 30269968 is about 5501.8149732611. The cubic root of 30269968 is about 311.6525279156.

It can be divided in two parts, 30269 and 968, that multiplied together give a palindrome (29300392).

The spelling of 30269968 in words is "thirty million, two hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 356 464 712 733 1424 1466 2581 2932 5162 5864 10324 11728 20648 21257 41296 42514 65237 85028 130474 170056 260948 340112 521896 1043792 1891873 3783746 7567492 15134984 30269968