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4130334 = 2321319929
BaseRepresentation
bin1111110000011000011110
321202211202100
433300120132
52024132314
6224305530
750051535
oct17603036
97684670
104130334
1123711aa
1214722a6
13b17cb0
1479731c
15568c09
hex3f061e

4130334 has 48 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 1202688.

The previous prime is 4130333. The next prime is 4130339. The reversal of 4130334 is 4330314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982 + ... + 4910.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 24130334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

4130334 is an abundant number, since it is smaller than the sum of its proper divisors (6025266).

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

4130334 is a wasteful number, since it uses less digits than its factorization.

4130334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4130334 is about 2032.3223169566. The cubic root of 4130334 is about 160.4458139500.

Adding to 4130334 its reverse (4330314), we get a palindrome (8460648).

The spelling of 4130334 in words is "four million, one hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 929 1482 1858 2223 2787 4446 5574 8361 12077 16722 17651 24154 35302 36231 52953 72462 105906 108693 158859 217386 229463 317718 458926 688389 1376778 2065167 4130334