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344440134 = 233232973131
BaseRepresentation
bin10100100001111…
…011110101000110
3220000010101001000
4110201323311012
51201134041014
654102314130
711351456433
oct2441736506
9800111030
10344440134
11167477a75
1297428946
135648a63c
1433a60b8a
152038b509
hex1487bd46

344440134 has 128 divisors (see below), whose sum is σ = 843955200. Its totient is φ = 103783680.

The previous prime is 344440133. The next prime is 344440183. The reversal of 344440134 is 431044443.

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

It is a junction number, because it is equal to n+sod(n) for n = 344440098 and 344440107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344440133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2629249 + ... + 2629379.

It is an arithmetic number, because the mean of its divisors is an integer number (6593400).

Almost surely, 2344440134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344440134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421977600).

344440134 is an abundant number, since it is smaller than the sum of its proper divisors (499515066).

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

344440134 is a wasteful number, since it uses less digits than its factorization.

344440134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 344440134 is about 18559.0984156020. The cubic root of 344440134 is about 700.9783150700.

Adding to 344440134 its reverse (431044443), we get a palindrome (775484577).

The spelling of 344440134 in words is "three hundred forty-four million, four hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 73 87 131 138 146 174 207 219 261 262 393 414 438 522 621 657 667 783 786 1179 1242 1314 1334 1566 1679 1971 2001 2117 2358 3013 3358 3537 3799 3942 4002 4234 5037 6003 6026 6351 7074 7598 9039 9563 10074 11397 12006 12702 15111 18009 18078 19053 19126 22794 27117 28689 30222 34191 36018 38106 45333 48691 54234 57159 57378 68382 81351 86067 87377 90666 97382 102573 114318 146073 162702 172134 174754 205146 219949 258201 262131 277327 292146 438219 439898 516402 524262 554654 659847 786393 831981 876438 1314657 1319694 1572786 1663962 1979541 2359179 2495943 2629314 3959082 4718358 4991886 5938623 6378521 7487829 11877246 12757042 14975658 19135563 38271126 57406689 114813378 172220067 344440134