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134233344 = 2832722941
BaseRepresentation
bin10000000000000…
…11110100000000
3100100120202112100
420000003310000
5233330431334
621153030400
73216651600
oct1000036400
9310522470
10134233344
1169853553
1238b55400
1321a6b61b
1413b82c00
15bbb7c99
hex8003d00

134233344 has 324 divisors, whose sum is σ = 477100260. Its totient is φ = 36126720.

The previous prime is 134233301. The next prime is 134233357. The reversal of 134233344 is 443332431.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 101606400 = 5712^2 + 10080^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3273964 + ... + 3274004.

Almost surely, 2134233344 is an apocalyptic number.

134233344 is a gapful number since it is divisible by the number (14) 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 134233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238550130).

134233344 is an abundant number, since it is smaller than the sum of its proper divisors (342866916).

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

134233344 is a wasteful number, since it uses less digits than its factorization.

134233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 134233344 is about 11585.9114445088. The cubic root of 134233344 is about 512.0198560008.

Adding to 134233344 its reverse (443332431), we get a palindrome (577565775).

The spelling of 134233344 in words is "one hundred thirty-four million, two hundred thirty-three thousand, three hundred forty-four".