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134348832 = 25326832
BaseRepresentation
bin10000000001000…
…00000000100000
3100100210121221200
420000200000200
5233343130312
621155321200
73220642362
oct1000400040
9310717850
10134348832
11699222a2
1238bb0200
1321aac067
1413bb2d32
15bbdc0dc
hex8020020

134348832 has 54 divisors (see below), whose sum is σ = 382614687. Its totient is φ = 44717376.

The previous prime is 134348821. The next prime is 134348833. The reversal of 134348832 is 238843431.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 67174416 + 67174416 = 8196^2 + 8196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8196.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (134348833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196363 + ... + 197045.

Almost surely, 2134348832 is an apocalyptic number.

134348832 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 134348832

134348832 is an abundant number, since it is smaller than the sum of its proper divisors (248265855).

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

134348832 is an frugal number, since it uses more digits than its factorization.

134348832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 688 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 134348832 is about 11590.8943572099. The cubic root of 134348832 is about 512.1666531062.

The spelling of 134348832 in words is "one hundred thirty-four million, three hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 21856 24588 32784 49176 65568 98352 196704 466489 932978 1399467 1865956 2798934 3731912 4198401 5597868 7463824 8396802 11195736 14927648 16793604 22391472 33587208 44782944 67174416 134348832