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189345408 = 2737229347
BaseRepresentation
bin10110100100100…
…10111010000000
3111012021202001220
423102102322000
5341433023113
630442155040
74456260300
oct1322227200
9435252056
10189345408
119797600a
12534b2a80
13302c6805
141b20b600
1511952523
hexb492e80

189345408 has 192 divisors, whose sum is σ = 606981600. Its totient is φ = 52082688.

The previous prime is 189345397. The next prime is 189345419. The reversal of 189345408 is 804543981.

189345408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189345397) and next prime (189345419).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 189345408.

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 23 ways as a sum of consecutive naturals, for example, 545491 + ... + 545837.

Almost surely, 2189345408 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 189345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303490800).

189345408 is an abundant number, since it is smaller than the sum of its proper divisors (417636192).

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

189345408 is a wasteful number, since it uses less digits than its factorization.

189345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 189345408 is about 13760.2837180052. The cubic root of 189345408 is about 574.2287408783.

It can be divided in two parts, 18934 and 5408, that added together give a palindrome (24342).

The spelling of 189345408 in words is "one hundred eighty-nine million, three hundred forty-five thousand, four hundred eight".