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3429348 = 2231321989
BaseRepresentation
bin1101000101001111100100
320110020011220
431011033210
51334214343
6201300340
741102046
oct15051744
96406156
103429348
111a3257a
1211946b0
13930c00
14653a96
1547b183
hex3453e4

3429348 has 72 divisors (see below), whose sum is σ = 9223200. Its totient is φ = 988416.

The previous prime is 3429347. The next prime is 3429353. The reversal of 3429348 is 8439243.

3429348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429341) 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, 38488 + ... + 38576.

It is an arithmetic number, because the mean of its divisors is an integer number (128100).

Almost surely, 23429348 is an apocalyptic number.

3429348 is a gapful number since it is divisible by the number (38) 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 3429348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611600).

3429348 is an abundant number, since it is smaller than the sum of its proper divisors (5793852).

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

3429348 is a wasteful number, since it uses less digits than its factorization.

3429348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3429348 is about 1851.8498859249. The cubic root of 3429348 is about 150.8008719728.

It can be divided in two parts, 342934 and 8, that multiplied together give a palindrome (2743472).

The spelling of 3429348 in words is "three million, four hundred twenty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 89 114 156 169 178 228 247 267 338 356 494 507 534 676 741 988 1014 1068 1157 1482 1691 2028 2314 2964 3211 3382 3471 4628 5073 6422 6764 6942 9633 10146 12844 13884 15041 19266 20292 21983 30082 38532 43966 45123 60164 65949 87932 90246 131898 180492 263796 285779 571558 857337 1143116 1714674 3429348