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134444024 = 2311131731223
BaseRepresentation
bin10000000001101…
…11001111111000
3100100222110112022
420000313033320
5233404202044
621201334012
73221520041
oct1000671770
9310873468
10134444024
1169987870
1239037308
1321b134a0
1413bd98c8
15bc0a3ee
hex80373f8

134444024 has 128 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 51148800.

The previous prime is 134444003. The next prime is 134444033. The reversal of 134444024 is 420444431.

It is a happy number.

134444024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 115952-1.

It is a super-3 number, since 3×1344440243 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 134443984 and 134444002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602777 + ... + 602999.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2134444024 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 134444024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

134444024 is an abundant number, since it is smaller than the sum of its proper divisors (190696456).

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

134444024 is a wasteful number, since it uses less digits than its factorization.

134444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 134444024 is about 11594.9999568780. Note that the first 4 decimals coincide. The cubic root of 134444024 is about 512.2875886763.

Adding to 134444024 its reverse (420444431), we get a palindrome (554888455).

The spelling of 134444024 in words is "one hundred thirty-four million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 13 17 22 26 31 34 44 52 62 68 88 104 124 136 143 187 221 223 248 286 341 374 403 442 446 527 572 682 748 806 884 892 1054 1144 1364 1496 1612 1768 1784 2108 2431 2453 2728 2899 3224 3791 4216 4433 4862 4906 5797 5798 6851 6913 7582 8866 9724 9812 11594 11596 13702 13826 15164 17732 19448 19624 23188 23192 27404 27652 30328 31889 35464 41701 46376 49283 54808 55304 63778 75361 76043 83402 89869 98566 117521 127556 150722 152086 166804 179738 197132 235042 255112 301444 304172 333608 359476 394264 470084 542113 602888 608344 718952 940168 988559 1084226 1292731 1527773 1977118 2168452 2585462 3055546 3954236 4336904 5170924 6111092 7908472 10341848 12222184 16805503 33611006 67222012 134444024