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134413104 = 24372317393
BaseRepresentation
bin10000000001011…
…11101100110000
3100100220220010010
420000233230300
5233402204404
621200534520
73221330640
oct1000575460
9310826103
10134413104
1169966611
1239021440
1321b023a7
1413bcc520
15bc01189
hex802fb30

134413104 has 80 divisors (see below), whose sum is σ = 414116352. Its totient is φ = 36731904.

The previous prime is 134413099. The next prime is 134413109. The reversal of 134413104 is 401314431.

It is an interprime number because it is at equal distance from previous prime (134413099) and next prime (134413109).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (134413109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969 + ... + 16424.

Almost surely, 2134413104 is an apocalyptic number.

134413104 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 134413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207058176).

134413104 is an abundant number, since it is smaller than the sum of its proper divisors (279703248).

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

134413104 is a wasteful number, since it uses less digits than its factorization.

134413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17434 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 134413104 is about 11593.6665468695. Note that the first 3 decimals coincide. The cubic root of 134413104 is about 512.2483129831.

Adding to 134413104 its reverse (401314431), we get a palindrome (535727535).

The spelling of 134413104 in words is "one hundred thirty-four million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 17393 34786 52179 69572 104358 121751 139144 208716 243502 278288 365253 400039 417432 487004 730506 800078 834864 974008 1200117 1461012 1600156 1948016 2400234 2800273 2922024 3200312 4800468 5600546 5844048 6400624 8400819 9600936 11201092 16801638 19201872 22402184 33603276 44804368 67206552 134413104