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134034264 = 23347132273
BaseRepresentation
bin1111111110100…
…11001101011000
3100100012122110000
413333103031120
5233303044024
621144453000
73215162310
oct777231530
9310178400
10134034264
1169727a21
1238a7a160
13219cbb20
1413b30440
15bb78cc9
hex7fd3358

134034264 has 160 divisors (see below), whose sum is σ = 462258720. Its totient is φ = 35334144.

The previous prime is 134034233. The next prime is 134034281. The reversal of 134034264 is 462430431.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57832 + ... + 60104.

It is an arithmetic number, because the mean of its divisors is an integer number (2889117).

Almost surely, 2134034264 is an apocalyptic number.

134034264 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 134034264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231129360).

134034264 is an abundant number, since it is smaller than the sum of its proper divisors (328224456).

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

134034264 is a wasteful number, since it uses less digits than its factorization.

134034264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2298 counting only the distinct ones).

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

The square root of 134034264 is about 11577.3167875808. The cubic root of 134034264 is about 511.7666070853.

Adding to 134034264 its reverse (462430431), we get a palindrome (596464695).

The spelling of 134034264 in words is "one hundred thirty-four million, thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2273 2457 2808 3276 4212 4536 4546 4914 6552 6819 7371 8424 9092 9828 13638 14742 15911 18184 19656 20457 27276 29484 29549 31822 40914 47733 54552 58968 59098 61371 63644 81828 88647 95466 118196 122742 127288 143199 163656 177294 184113 190932 206843 236392 245484 265941 286398 354588 368226 381864 413686 429597 490968 531882 572796 620529 709176 736452 797823 827372 859194 1063764 1145592 1241058 1288791 1472904 1595646 1654744 1718388 1861587 2127528 2393469 2482116 2577582 3191292 3436776 3723174 4786938 4964232 5155164 5584761 6382584 7446348 9573876 10310328 11169522 14892696 16754283 19147752 22339044 33508566 44678088 67017132 134034264