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134304400 = 24523110831
BaseRepresentation
bin10000000000101…
…01001010010000
3100100201101000001
420000111022100
5233340220100
621154335344
73220366006
oct1000251220
9310641001
10134304400
11698a197a
1238b8a554
1321a94a79
1413ba0a76
15bbcdd6a
hex8015290

134304400 has 60 divisors (see below), whose sum is σ = 333105664. Its totient is φ = 51984000.

The previous prime is 134304389. The next prime is 134304421. The reversal of 134304400 is 4403431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6985 + ... + 17815.

Almost surely, 2134304400 is an apocalyptic number.

134304400 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 134304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166552832).

134304400 is an abundant number, since it is smaller than the sum of its proper divisors (198801264).

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

134304400 is a wasteful number, since it uses less digits than its factorization.

134304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 134304400 is about 11588.9775217661. The cubic root of 134304400 is about 512.1101854329.

Adding to 134304400 its reverse (4403431), we get a palindrome (138707831).

The spelling of 134304400 in words is "one hundred thirty-four million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 10831 12400 21662 43324 54155 86648 108310 173296 216620 270775 335761 433240 541550 671522 866480 1083100 1343044 1678805 2166200 2686088 3357610 4332400 5372176 6715220 8394025 13430440 16788050 26860880 33576100 67152200 134304400