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136034352 = 2432979739
BaseRepresentation
bin10000001101110…
…11100000110000
3100110222021001100
420012323200300
5234311044402
621255404400
73241162416
oct1006734060
9313867040
10136034352
116a873693
1239683700
132224c2cc
14140d12b6
15be2171c
hex81bb830

136034352 has 60 divisors (see below), whose sum is σ = 384671560. Its totient is φ = 44872704.

The previous prime is 136034341. The next prime is 136034369. The reversal of 136034352 is 253430631.

It is a happy number.

136034352 is a `hidden beast` number, since 1 + 3 + 603 + 4 + 3 + 52 = 666.

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 11 ways as a sum of consecutive naturals, for example, 9099 + ... + 18837.

Almost surely, 2136034352 is an apocalyptic number.

136034352 is a gapful number since it is divisible by the number (12) 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 136034352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192335780).

136034352 is an abundant number, since it is smaller than the sum of its proper divisors (248637208).

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

136034352 is a wasteful number, since it uses less digits than its factorization.

136034352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 136034352 is about 11663.3765265467. The cubic root of 136034352 is about 514.2996128519.

Adding to 136034352 its reverse (253430631), we get a palindrome (389464983).

It can be divided in two parts, 13603 and 4352, that added together give a triangular number (17955 = T189).

The spelling of 136034352 in words is "one hundred thirty-six million, thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 9739 13968 19478 29217 38956 58434 77912 87651 116868 155824 175302 233736 350604 467472 701208 944683 1402416 1889366 2834049 3778732 5668098 7557464 8502147 11336196 15114928 17004294 22672392 34008588 45344784 68017176 136034352