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34244340 = 223513431021
BaseRepresentation
bin1000001010100…
…0011011110100
32101102210101220
42002220123310
532231304330
63221550340
7564033504
oct202503364
971383356
1034244340
111836a309
12b5753b0
13712cb30
144795a04
153016710
hex20a86f4

34244340 has 96 divisors (see below), whose sum is σ = 105764736. Its totient is φ = 8225280.

The previous prime is 34244333. The next prime is 34244359. The reversal of 34244340 is 4344243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34244340.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33030 + ... + 34050.

It is an arithmetic number, because the mean of its divisors is an integer number (1101716).

Almost surely, 234244340 is an apocalyptic number.

34244340 is a gapful number since it is divisible by the number (30) 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 34244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52882368).

34244340 is an abundant number, since it is smaller than the sum of its proper divisors (71520396).

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

34244340 is a wasteful number, since it uses less digits than its factorization.

34244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34244340 is about 5851.8663689459. The cubic root of 34244340 is about 324.7353743352.

Adding to 34244340 its reverse (4344243), we get a palindrome (38588583).

The spelling of 34244340 in words is "thirty-four million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1021 1118 1290 1677 2042 2236 2580 2795 3063 3354 4084 5105 5590 6126 6708 8385 10210 11180 12252 13273 15315 16770 20420 26546 30630 33540 39819 43903 53092 61260 66365 79638 87806 131709 132730 159276 175612 199095 219515 263418 265460 398190 439030 526836 570739 658545 796380 878060 1141478 1317090 1712217 2282956 2634180 2853695 3424434 5707390 6848868 8561085 11414780 17122170 34244340