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134800344 = 233271715733
BaseRepresentation
bin10000000100011…
…10001111011000
3100101122120022100
420002032033120
5234002102334
621213123400
73224532630
oct1002161730
9311576270
10134800344
116a100548
1239189560
1321c09723
1413c8d6c0
15bc7ac99
hex808e3d8

134800344 has 96 divisors (see below), whose sum is σ = 441810720. Its totient is φ = 36246528.

The previous prime is 134800343. The next prime is 134800349. The reversal of 134800344 is 443008431.

It is a super-2 number, since 2×1348003442 = 36342265485036672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134800343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (4602195).

Almost surely, 2134800344 is an apocalyptic number.

134800344 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 134800344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220905360).

134800344 is an abundant number, since it is smaller than the sum of its proper divisors (307010376).

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

134800344 is a wasteful number, since it uses less digits than its factorization.

134800344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134800344 is about 11610.3550333312. The cubic root of 134800344 is about 512.7397651867.

Adding to 134800344 its reverse (443008431), we get a palindrome (577808775).

The spelling of 134800344 in words is "one hundred thirty-four million, eight hundred thousand, three 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 15733 31466 47199 62932 94398 110131 125864 141597 188796 220262 267461 283194 330393 377592 440524 534922 566388 660786 802383 881048 991179 1069844 1132776 1321572 1604766 1872227 1982358 2139688 2407149 2643144 3209532 3744454 3964716 4814298 5616681 6419064 7488908 7929432 9628596 11233362 14977816 16850043 19257192 22466724 33700086 44933448 67400172 134800344