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134134344 = 233223107757
BaseRepresentation
bin1111111111010…
…11101001001000
3100100101201201200
413333223221020
5233314244334
621150544200
73216060141
oct777535110
9310351650
10134134344
1169796133
1238b08060
1321a35546
1413b58ac8
15bb98799
hex7feba48

134134344 has 96 divisors (see below), whose sum is σ = 383123520. Its totient is φ = 42311808.

The previous prime is 134134331. The next prime is 134134349. The reversal of 134134344 is 443431431.

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

It is not an unprimeable number, because it can be changed into a prime (134134349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176814 + ... + 177570.

It is an arithmetic number, because the mean of its divisors is an integer number (3990870).

Almost surely, 2134134344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134134344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191561760).

134134344 is an abundant number, since it is smaller than the sum of its proper divisors (248989176).

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

134134344 is a wasteful number, since it uses less digits than its factorization.

134134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 134134344 is about 11581.6382260887. The cubic root of 134134344 is about 511.8939497965.

Adding to 134134344 its reverse (443431431), we get a palindrome (577565775).

The spelling of 134134344 in words is "one hundred thirty-four million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 107 138 184 207 214 276 321 414 428 552 642 757 828 856 963 1284 1514 1656 1926 2271 2461 2568 3028 3852 4542 4922 6056 6813 7383 7704 9084 9844 13626 14766 17411 18168 19688 22149 27252 29532 34822 44298 52233 54504 59064 69644 80999 88596 104466 139288 156699 161998 177192 208932 242997 313398 323996 417864 485994 626796 647992 728991 971988 1253592 1457982 1862977 1943976 2915964 3725954 5588931 5831928 7451908 11177862 14903816 16766793 22355724 33533586 44711448 67067172 134134344