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134403624 = 2334211983
BaseRepresentation
bin10000000001011…
…01011000101000
3100100220102010000
420000231120220
5233401403444
621200423000
73221261205
oct1000553050
9310812100
10134403624
116995a483
1239017a60
1321acac94
1413bc8cac
15bbed469
hex802d628

134403624 has 80 divisors (see below), whose sum is σ = 378623520. Its totient is φ = 44543520.

The previous prime is 134403623. The next prime is 134403637. The reversal of 134403624 is 426304431.

134403624 is a `hidden beast` number, since 1 + 34 + 4 + 0 + 3 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134403623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136237 + ... + 137219.

It is an arithmetic number, because the mean of its divisors is an integer number (4732794).

Almost surely, 2134403624 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 134403624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189311760).

134403624 is an abundant number, since it is smaller than the sum of its proper divisors (244219896).

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

134403624 is a wasteful number, since it uses less digits than its factorization.

134403624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 134403624 is about 11593.2576957471. The cubic root of 134403624 is about 512.2362699406.

The spelling of 134403624 in words is "one hundred thirty-four million, four hundred three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 211 216 324 422 633 648 844 983 1266 1688 1899 1966 2532 2949 3798 3932 5064 5697 5898 7596 7864 8847 11394 11796 15192 17091 17694 22788 23592 26541 34182 35388 45576 53082 68364 70776 79623 106164 136728 159246 207413 212328 318492 414826 622239 636984 829652 1244478 1659304 1866717 2488956 3733434 4977912 5600151 7466868 11200302 14933736 16800453 22400604 33600906 44801208 67201812 134403624