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134456424 = 233311271423
BaseRepresentation
bin10000000001110…
…10010001101000
3100101000002112120
420000322101220
5233410101144
621201511240
73221601144
oct1000722150
9311002476
10134456424
1169996113
1239042520
1321b1901b
1413c00224
15bc0de19
hex803a468

134456424 has 64 divisors (see below), whose sum is σ = 349962240. Its totient is φ = 43001280.

The previous prime is 134456423. The next prime is 134456447. The reversal of 134456424 is 424654431.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (134456423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93777 + ... + 95199.

It is an arithmetic number, because the mean of its divisors is an integer number (5468160).

Almost surely, 2134456424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134456424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174981120).

134456424 is an abundant number, since it is smaller than the sum of its proper divisors (215505816).

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

134456424 is a wasteful number, since it uses less digits than its factorization.

134456424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 134456424 is about 11595.5346577896. The cubic root of 134456424 is about 512.3033379094.

The spelling of 134456424 in words is "one hundred thirty-four million, four hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 186 248 254 372 381 508 744 762 1016 1423 1524 2846 3048 3937 4269 5692 7874 8538 11384 11811 15748 17076 23622 31496 34152 44113 47244 88226 94488 132339 176452 180721 264678 352904 361442 529356 542163 722884 1058712 1084326 1445768 2168652 4337304 5602351 11204702 16807053 22409404 33614106 44818808 67228212 134456424