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191434880 = 27571319173
BaseRepresentation
bin10110110100100…
…01000010000000
3111100012220021202
423122101002000
5343001404010
630555040332
74513112120
oct1332210200
9440186252
10191434880
119907294a
12541400a8
13308788a0
141b5d2c80
1511c166a5
hexb691080

191434880 has 256 divisors, whose sum is σ = 596332800. Its totient is φ = 57065472.

The previous prime is 191434853. The next prime is 191434883. The reversal of 191434880 is 88434191.

191434880 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 2×1914348802 = 73294626561228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191434883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106474 + ... + 1106646.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2191434880 is an apocalyptic number.

191434880 is a gapful number since it is divisible by the number (10) 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 191434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298166400).

191434880 is an abundant number, since it is smaller than the sum of its proper divisors (404897920).

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

191434880 is a wasteful number, since it uses less digits than its factorization.

191434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 191434880 is about 13835.9994217982. Note that the first 3 decimals coincide. The cubic root of 191434880 is about 576.3332690701. Note that the first 3 decimals are identical.

The spelling of 191434880 in words is "one hundred ninety-one million, four hundred thirty-four thousand, eight hundred eighty".