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191434896 = 243211532
BaseRepresentation
bin10110110100100…
…01000010010000
3111100012220022100
423122101002100
5343001404041
630555040400
74513112142
oct1332210220
9440186270
10191434896
1199072964
1254140100
13308788b3
141b5d2c92
1511c166b6
hexb691090

191434896 has 45 divisors (see below), whose sum is σ = 536216889. Its totient is φ = 63756288.

The previous prime is 191434891. The next prime is 191434913. The reversal of 191434896 is 698434191.

The square root of 191434896 is 13836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 151290000 + 40144896 = 12300^2 + 6336^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (191434891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165456 + ... + 166608.

Almost surely, 2191434896 is an apocalyptic number.

191434896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

191434896 is the 13836-th square number.

It is an amenable number.

191434896 is an abundant number, since it is smaller than the sum of its proper divisors (344781993).

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

191434896 is an equidigital number, since it uses as much as digits as its factorization.

191434896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 1158 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 191434896 is about 576.3332851266. Note that the first 3 decimals are identical.

Multiplying 191434896 by its product of digits (186624), we get a square (35726346031104 = 59771522).

The spelling of 191434896 in words is "one hundred ninety-one million, four hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1153 2306 3459 4612 6918 9224 10377 13836 18448 20754 27672 41508 55344 83016 166032 1329409 2658818 3988227 5317636 7976454 10635272 11964681 15952908 21270544 23929362 31905816 47858724 63811632 95717448 191434896