Search a number
-
+
4034142 = 2327101317
BaseRepresentation
bin1111011000111001011110
321120221210200
433120321132
52013043032
6222244330
746201230
oct17307136
97527720
104034142
112305a02
1214266a6
13ab3288
14770250
1554a47c
hex3d8e5e

4034142 has 48 divisors (see below), whose sum is σ = 10120032. Its totient is φ = 1137600.

The previous prime is 4034141. The next prime is 4034143. The reversal of 4034142 is 2414304.

It is an interprime number because it is at equal distance from previous prime (4034141) and next prime (4034143).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034141) 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, 12568 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (210834).

Almost surely, 24034142 is an apocalyptic number.

4034142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060016).

4034142 is an abundant number, since it is smaller than the sum of its proper divisors (6085890).

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

4034142 is a wasteful number, since it uses less digits than its factorization.

4034142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4034142 is about 2008.5173636292. The cubic root of 4034142 is about 159.1904683148.

Adding to 4034142 its reverse (2414304), we get a palindrome (6448446).

The spelling of 4034142 in words is "four million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 317 606 634 707 909 951 1414 1818 1902 2121 2219 2853 4242 4438 5706 6363 6657 12726 13314 19971 32017 39942 64034 96051 192102 224119 288153 448238 576306 672357 1344714 2017071 4034142