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134371944 = 233271715683
BaseRepresentation
bin10000000001001…
…01101001101000
3100100211210122200
420000211221220
5233344400234
621200020200
73221066640
oct1000455150
9310753580
10134371944
11699386a3
1239001660
1321ab9735
1413bbb520
15bbe3d99
hex8025a68

134371944 has 96 divisors (see below), whose sum is σ = 440406720. Its totient is φ = 36131328.

The previous prime is 134371849. The next prime is 134371997. The reversal of 134371944 is 449173431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134371899 and 134371908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (4587570).

Almost surely, 2134371944 is an apocalyptic number.

134371944 is a gapful number since it is divisible by the number (14) 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 134371944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220203360).

134371944 is an abundant number, since it is smaller than the sum of its proper divisors (306034776).

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

134371944 is a wasteful number, since it uses less digits than its factorization.

134371944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15712 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 134371944 is about 11591.8913038382. The cubic root of 134371944 is about 512.1960207278.

The spelling of 134371944 in words is "one hundred thirty-four million, three hundred seventy-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 15683 31366 47049 62732 94098 109781 125464 141147 188196 219562 266611 282294 329343 376392 439124 533222 564588 658686 799833 878248 988029 1066444 1129176 1317372 1599666 1866277 1976058 2132888 2399499 2634744 3199332 3732554 3952116 4798998 5598831 6398664 7465108 7904232 9597996 11197662 14930216 16796493 19195992 22395324 33592986 44790648 67185972 134371944