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134414336 = 2167293
BaseRepresentation
bin10000000001100…
…00000000000000
3100100220221210202
420000300000000
5233402224321
621200544332
73221334350
oct1000600000
9310827722
10134414336
1169967531
12390220a8
1321b02b14
1413bccb60
15bc0170b
hex8030000

134414336 has 68 divisors (see below), whose sum is σ = 308278992. Its totient is φ = 57409536.

The previous prime is 134414327. The next prime is 134414381. The reversal of 134414336 is 633414431.

It is a junction number, because it is equal to n+sod(n) for n = 134414299 and 134414308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458606 + ... + 458898.

Almost surely, 2134414336 is an apocalyptic number.

134414336 is a gapful number since it is divisible by the number (16) 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 134414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154139496).

134414336 is an abundant number, since it is smaller than the sum of its proper divisors (173864656).

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

134414336 is an frugal number, since it uses more digits than its factorization.

134414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 134414336 is about 11593.7196792056. The cubic root of 134414336 is about 512.2498780289.

Adding to 134414336 its reverse (633414431), we get a palindrome (767828767).

The spelling of 134414336 in words is "one hundred thirty-four million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 293 448 512 586 896 1024 1172 1792 2048 2051 2344 3584 4096 4102 4688 7168 8192 8204 9376 14336 16384 16408 18752 28672 32768 32816 37504 57344 65536 65632 75008 114688 131264 150016 229376 262528 300032 458752 525056 600064 1050112 1200128 2100224 2400256 4200448 4800512 8400896 9601024 16801792 19202048 33603584 67207168 134414336