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134370360 = 23335831499
BaseRepresentation
bin10000000001001…
…01010000111000
3100100211201111000
420000211100320
5233344322420
621200005000
73221062215
oct1000452070
9310751430
10134370360
1169937493
1239000760
1321ab8ab7
1413bbab0c
15bbe3690
hex8025438

134370360 has 128 divisors (see below), whose sum is σ = 453600000. Its totient is φ = 35376768.

The previous prime is 134370343. The next prime is 134370361. The reversal of 134370360 is 63073431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134370361) 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, 88891 + ... + 90389.

It is an arithmetic number, because the mean of its divisors is an integer number (3543750).

Almost surely, 2134370360 is an apocalyptic number.

134370360 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 134370360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800000).

134370360 is an abundant number, since it is smaller than the sum of its proper divisors (319229640).

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

134370360 is a wasteful number, since it uses less digits than its factorization.

134370360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 134370360 is about 11591.8229800148. The cubic root of 134370360 is about 512.1940081011.

The spelling of 134370360 in words is "one hundred thirty-four million, three hundred seventy thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1494 1499 1660 1992 2241 2490 2988 2998 3320 3735 4482 4497 4980 5976 5996 7470 7495 8964 8994 9960 11205 11992 13491 14940 14990 17928 17988 22410 22485 26982 29880 29980 35976 40473 44820 44970 53964 59960 67455 80946 89640 89940 107928 124417 134910 161892 179880 202365 248834 269820 323784 373251 404730 497668 539640 622085 746502 809460 995336 1119753 1244170 1493004 1618920 1866255 2239506 2488340 2986008 3359259 3732510 4479012 4976680 5598765 6718518 7465020 8958024 11197530 13437036 14930040 16796295 22395060 26874072 33592590 44790120 67185180 134370360