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134303400 = 2333527111719
BaseRepresentation
bin10000000000101…
…00111010101000
3100100201022122000
420000110322220
5233340202100
621154331000
73220363050
oct1000247250
9310638560
10134303400
11698a1150
1238b89a60
1321a9448a
1413ba0560
15bbcd900
hex8014ea8

134303400 has 768 divisors, whose sum is σ = 642816000. Its totient is φ = 24883200.

The previous prime is 134303359. The next prime is 134303401. The reversal of 134303400 is 4303431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134303401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7068591 + ... + 7068609.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2134303400 is an apocalyptic number.

134303400 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 134303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

134303400 is an abundant number, since it is smaller than the sum of its proper divisors (508512600).

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

134303400 is a wasteful number, since it uses less digits than its factorization.

134303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 134303400 is about 11588.9343772411. The cubic root of 134303400 is about 512.1089144111.

Adding to 134303400 its reverse (4303431), we get a palindrome (138606831).

The spelling of 134303400 in words is "one hundred thirty-four million, three hundred three thousand, four hundred".