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3424344 = 23371117109
BaseRepresentation
bin1101000100000001011000
320102222022120
431010001120
51334034334
6201221240
741051340
oct15040130
96388276
103424344
111a29840
121191820
1392b851
14651d20
15479949
hex344058

3424344 has 128 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 829440.

The previous prime is 3424307. The next prime is 3424363. The reversal of 3424344 is 4434243.

3424344 = 772 + 782 + ... + 2202.

It is a happy number.

It is a super-2 number, since 2×34243442 = 23452263660672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 3 + 4 + 221 + 47 + 34 + 49 + 410 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31362 + ... + 31470.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

Almost surely, 23424344 is an apocalyptic number.

3424344 is a gapful number since it is divisible by the number (34) 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 3424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

3424344 is an abundant number, since it is smaller than the sum of its proper divisors (7980456).

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

3424344 is a wasteful number, since it uses less digits than its factorization.

3424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

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

The square root of 3424344 is about 1850.4983112665. The cubic root of 3424344 is about 150.7274882572.

Adding to 3424344 its reverse (4434243), we get a palindrome (7858587).

The spelling of 3424344 in words is "three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 109 119 132 136 154 168 187 204 218 231 238 264 308 327 357 374 408 436 462 476 561 616 654 714 748 763 872 924 952 1122 1199 1308 1309 1428 1496 1526 1848 1853 2244 2289 2398 2616 2618 2856 3052 3597 3706 3927 4488 4578 4796 5236 5559 6104 7194 7412 7854 8393 9156 9592 10472 11118 12971 14388 14824 15708 16786 18312 20383 22236 25179 25942 28776 31416 33572 38913 40766 44472 50358 51884 61149 67144 77826 81532 100716 103768 122298 142681 155652 163064 201432 244596 285362 311304 428043 489192 570724 856086 1141448 1712172 3424344