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134134440 = 233511307331
BaseRepresentation
bin1111111111010…
…11101010101000
3100100101201212020
413333223222220
5233314300230
621150544440
73216060336
oct777535250
9310351766
10134134440
1169796210
1238b08120
1321a355bb
1413b58b56
15bb98810
hex7febaa8

134134440 has 128 divisors (see below), whose sum is σ = 441745920. Its totient is φ = 32313600.

The previous prime is 134134439. The next prime is 134134447. The reversal of 134134440 is 44431431.

It is a super-2 number, since 2×1341344402 = 35984095988227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 134134440.

It is not an unprimeable number, because it can be changed into a prime (134134447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405075 + ... + 405405.

It is an arithmetic number, because the mean of its divisors is an integer number (3451140).

Almost surely, 2134134440 is an apocalyptic number.

134134440 is a gapful number since it is divisible by the number (10) 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 134134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220872960).

134134440 is an abundant number, since it is smaller than the sum of its proper divisors (307611480).

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

134134440 is a wasteful number, since it uses less digits than its factorization.

134134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 134134440 is about 11581.6423705794. The cubic root of 134134440 is about 511.8940719173.

Adding to 134134440 its reverse (44431431), we get a palindrome (178565871).

The spelling of 134134440 in words is "one hundred thirty-four million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 307 330 331 440 614 660 662 921 993 1228 1320 1324 1535 1655 1842 1986 2456 2648 3070 3310 3377 3641 3684 3972 4605 4965 6140 6620 6754 7282 7368 7944 9210 9930 10131 10923 12280 13240 13508 14564 16885 18205 18420 19860 20262 21846 27016 29128 33770 36410 36840 39720 40524 43692 50655 54615 67540 72820 81048 87384 101310 101617 109230 135080 145640 202620 203234 218460 304851 405240 406468 436920 508085 609702 812936 1016170 1117787 1219404 1524255 2032340 2235574 2438808 3048510 3353361 4064680 4471148 5588935 6097020 6706722 8942296 11177870 12194040 13413444 16766805 22355740 26826888 33533610 44711480 67067220 134134440