Search a number
-
+
301828192 = 2589131809
BaseRepresentation
bin10001111111011…
…000100001100000
3210000221110102221
4101333120201200
51104232000232
645541120424
710323332401
oct2177304140
9700843387
10301828192
11145412a96
12850b9114
134a6bac83
142c12b9a8
151b770897
hex11fd8860

301828192 has 48 divisors (see below), whose sum is σ = 606236400. Its totient is φ = 147896320.

The previous prime is 301828187. The next prime is 301828193. The reversal of 301828192 is 291828103.

301828192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3018281922 = 182200514971977728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301828193) 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 7 ways as a sum of consecutive naturals, for example, 372684 + ... + 373492.

It is an arithmetic number, because the mean of its divisors is an integer number (12629925).

Almost surely, 2301828192 is an apocalyptic number.

301828192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

301828192 is an abundant number, since it is smaller than the sum of its proper divisors (304408208).

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

301828192 is a wasteful number, since it uses less digits than its factorization.

301828192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 301828192 is about 17373.2032740079. The cubic root of 301828192 is about 670.7900326444.

The spelling of 301828192 in words is "three hundred one million, eight hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 89 131 178 262 356 524 712 809 1048 1424 1618 2096 2848 3236 4192 6472 11659 12944 23318 25888 46636 72001 93272 105979 144002 186544 211958 288004 373088 423916 576008 847832 1152016 1695664 2304032 3391328 9432131 18864262 37728524 75457048 150914096 301828192