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134332440 = 233511149683
BaseRepresentation
bin10000000000111…
…00000000011000
3100100202210110120
420000130000120
5233342114230
621155113240
73220543524
oct1000340030
9310683416
10134332440
1169910a50
1238ba2820
1321aa4768
1413baad84
15bbd7310
hex801c018

134332440 has 128 divisors (see below), whose sum is σ = 443232000. Its totient is φ = 32299520.

The previous prime is 134332427. The next prime is 134332463. The reversal of 134332440 is 44233431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134332440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196339 + ... + 197021.

It is an arithmetic number, because the mean of its divisors is an integer number (3462750).

Almost surely, 2134332440 is an apocalyptic number.

134332440 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 134332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221616000).

134332440 is an abundant number, since it is smaller than the sum of its proper divisors (308899560).

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

134332440 is a wasteful number, since it uses less digits than its factorization.

134332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 134332440 is about 11590.1872288587. The cubic root of 134332440 is about 512.1458223154.

Adding to 134332440 its reverse (44233431), we get a palindrome (178565871).

Subtracting from 134332440 its reverse (44233431), we obtain a palindrome (90099009).

The spelling of 134332440 in words is "one hundred thirty-four million, three hundred thirty-two 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 88 110 120 132 149 165 220 264 298 330 440 447 596 660 683 745 894 1192 1320 1366 1490 1639 1788 2049 2235 2732 2980 3278 3415 3576 4098 4470 4917 5464 5960 6556 6830 7513 8195 8196 8940 9834 10245 13112 13660 15026 16390 16392 17880 19668 20490 22539 24585 27320 30052 32780 37565 39336 40980 45078 49170 60104 65560 75130 81960 90156 98340 101767 112695 150260 180312 196680 203534 225390 300520 305301 407068 450780 508835 610602 814136 901560 1017670 1119437 1221204 1526505 2035340 2238874 2442408 3053010 3358311 4070680 4477748 5597185 6106020 6716622 8955496 11194370 12212040 13433244 16791555 22388740 26866488 33583110 44777480 67166220 134332440