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134344770 = 23572591549
BaseRepresentation
bin10000000000111…
…11000001000010
3100100210102101020
420000133001002
5233343013040
621155250310
73220624500
oct1000370102
9310712336
10134344770
116991a23a
1238ba9996
1321aaa261
1413bb1670
15bbdacd0
hex801f042

134344770 has 96 divisors (see below), whose sum is σ = 381672000. Its totient is φ = 30167424.

The previous prime is 134344757. The next prime is 134344783. The reversal of 134344770 is 77443431.

It is an interprime number because it is at equal distance from previous prime (134344757) and next prime (134344783).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85956 + ... + 87504.

It is an arithmetic number, because the mean of its divisors is an integer number (3975750).

Almost surely, 2134344770 is an apocalyptic number.

134344770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134344770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

134344770 is an abundant number, since it is smaller than the sum of its proper divisors (247327230).

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

134344770 is a wasteful number, since it uses less digits than its factorization.

134344770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 134344770 is about 11590.7191321333. The cubic root of 134344770 is about 512.1614913149.

The spelling of 134344770 in words is "one hundred thirty-four million, three hundred forty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 59 70 98 105 118 147 177 210 245 294 295 354 413 490 590 735 826 885 1239 1470 1549 1770 2065 2478 2891 3098 4130 4647 5782 6195 7745 8673 9294 10843 12390 14455 15490 17346 21686 23235 28910 32529 43365 46470 54215 65058 75901 86730 91391 108430 151802 162645 182782 227703 274173 325290 379505 455406 456955 548346 639737 759010 913910 1138515 1279474 1370865 1919211 2277030 2741730 3198685 3838422 4478159 6397370 8956318 9596055 13434477 19192110 22390795 26868954 44781590 67172385 134344770