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134304324 = 223711191761
BaseRepresentation
bin10000000000101…
…01001001000100
3100100201100220020
420000111021010
5233340214244
621154335140
73220365540
oct1000251104
9310640806
10134304324
11698a1910
1238b8a4b0
1321a94a1b
1413ba0a20
15bbcdd19
hex8015244

134304324 has 96 divisors (see below), whose sum is σ = 393265152. Its totient is φ = 34656000.

The previous prime is 134304319. The next prime is 134304347. The reversal of 134304324 is 423403431.

It is a junction number, because it is equal to n+sod(n) for n = 134304294 and 134304303.

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 31 ways as a sum of consecutive naturals, for example, 176104 + ... + 176864.

It is an arithmetic number, because the mean of its divisors is an integer number (4096512).

Almost surely, 2134304324 is an apocalyptic number.

134304324 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 134304324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196632576).

134304324 is an abundant number, since it is smaller than the sum of its proper divisors (258960828).

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

134304324 is a wasteful number, since it uses less digits than its factorization.

134304324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 134304324 is about 11588.9742427878. The cubic root of 134304324 is about 512.1100888354.

Adding to 134304324 its reverse (423403431), we get a palindrome (557707755).

The spelling of 134304324 in words is "one hundred thirty-four million, three hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 191 231 308 382 462 573 761 764 924 1146 1337 1522 2101 2283 2292 2674 3044 4011 4202 4566 5327 5348 6303 8022 8371 8404 9132 10654 12606 14707 15981 16044 16742 21308 25113 25212 29414 31962 33484 44121 50226 58597 58828 63924 88242 100452 117194 145351 175791 176484 234388 290702 351582 436053 581404 703164 872106 1017457 1598861 1744212 2034914 3052371 3197722 4069828 4796583 6104742 6395444 9593166 11192027 12209484 19186332 22384054 33576081 44768108 67152162 134304324