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134344320 = 2735116361
BaseRepresentation
bin10000000000111…
…10111010000000
3100100210101202120
420000132322000
5233343004240
621155244240
73220623255
oct1000367200
9310711676
10134344320
1169919970
1238ba9680
1321aa9ca6
1413bb142c
15bbdaad0
hex801ee80

134344320 has 128 divisors (see below), whose sum is σ = 467225280. Its totient is φ = 32563200.

The previous prime is 134344289. The next prime is 134344337. The reversal of 134344320 is 23443431.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17940 + ... + 24300.

Almost surely, 2134344320 is an apocalyptic number.

134344320 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 134344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233612640).

134344320 is an abundant number, since it is smaller than the sum of its proper divisors (332880960).

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

134344320 is a wasteful number, since it uses less digits than its factorization.

134344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6382 counting only the distinct ones).

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

The square root of 134344320 is about 11590.6997200342. The cubic root of 134344320 is about 512.1609194705.

Adding to 134344320 its reverse (23443431), we get a palindrome (157787751).

The spelling of 134344320 in words is "one hundred thirty-four million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 6361 7040 10560 12722 19083 21120 25444 31805 38166 50888 63610 69971 76332 95415 101776 127220 139942 152664 190830 203552 209913 254440 279884 305328 349855 381660 407104 419826 508880 559768 610656 699710 763320 814208 839652 1017760 1049565 1119536 1221312 1399420 1526640 1679304 2035520 2099130 2239072 2442624 2798840 3053280 3358608 4071040 4198260 4478144 5597680 6106560 6717216 8396520 8956288 11195360 12213120 13434432 16793040 22390720 26868864 33586080 44781440 67172160 134344320