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2429334 = 232172467
BaseRepresentation
bin1001010001000110010110
311120102102100
421101012112
51110214314
6124022530
726435415
oct11210626
94512370
102429334
11140a216
12991a46
1367099b
1447347c
1532ec09
hex251196

2429334 has 36 divisors (see below), whose sum is σ = 5603364. Its totient is φ = 760512.

The previous prime is 2429333. The next prime is 2429341. The reversal of 2429334 is 4339242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2429298 and 2429307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4969 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (155649).

22429334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801682).

2429334 is an abundant number, since it is smaller than the sum of its proper divisors (3174030).

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

2429334 is a wasteful number, since it uses less digits than its factorization.

2429334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2429334 is about 1558.6320925735. The cubic root of 2429334 is about 134.4298589059.

The spelling of 2429334 in words is "two million, four hundred twenty-nine thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 467 578 867 934 1401 1734 2601 2802 4203 5202 7939 8406 15878 23817 47634 71451 134963 142902 269926 404889 809778 1214667 2429334