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189346068 = 223217457677
BaseRepresentation
bin10110100100100…
…11000100010100
3111012021202222100
423102103010110
5341433033233
630442202100
74456262232
oct1322230424
9435252870
10189346068
119797655a
12534b3330
13302c6bc2
141b20b952
1511952813
hexb493114

189346068 has 72 divisors (see below), whose sum is σ = 508638312. Its totient is φ = 59185152.

The previous prime is 189346067. The next prime is 189346093. The reversal of 189346068 is 860643981.

189346068 is a `hidden beast` number, since 1 + 8 + 9 + 34 + 606 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150258564 + 39087504 = 12258^2 + 6252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189346067) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 279346 + ... + 280022.

It is an arithmetic number, because the mean of its divisors is an integer number (7064421).

Almost surely, 2189346068 is an apocalyptic number.

189346068 is a gapful number since it is divisible by the number (18) 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 189346068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254319156).

189346068 is an abundant number, since it is smaller than the sum of its proper divisors (319292244).

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

189346068 is a wasteful number, since it uses less digits than its factorization.

189346068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 189346068 is about 13760.3077000480. The cubic root of 189346068 is about 574.2294080726.

It can be divided in two parts, 1893 and 46068, that added together give a square (47961 = 2192).

The spelling of 189346068 in words is "one hundred eighty-nine million, three hundred forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 457 612 677 914 1354 1371 1828 2031 2708 2742 4062 4113 5484 6093 7769 8124 8226 11509 12186 15538 16452 23018 23307 24372 31076 34527 46036 46614 69054 69921 93228 103581 138108 139842 207162 279684 309389 414324 618778 928167 1237556 1856334 2784501 3712668 5259613 5569002 10519226 11138004 15778839 21038452 31557678 47336517 63115356 94673034 189346068