[go: up one dir, main page]

Search a number
-
+
4034240 = 26571801
BaseRepresentation
bin1111011000111011000000
321120221221022
433120323000
52013043430
6222245012
746201430
oct17307300
97527838
104034240
112305a91
121426768
13ab3332
147702c0
1554a4e5
hex3d8ec0

4034240 has 56 divisors (see below), whose sum is σ = 10984992. Its totient is φ = 1382400.

The previous prime is 4034209. The next prime is 4034249. The reversal of 4034240 is 424304.

4034240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034249) 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 7 ways as a sum of consecutive naturals, for example, 1340 + ... + 3140.

Almost surely, 24034240 is an apocalyptic number.

4034240 is a gapful number since it is divisible by the number (40) 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 4034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492496).

4034240 is an abundant number, since it is smaller than the sum of its proper divisors (6950752).

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

4034240 is a wasteful number, since it uses less digits than its factorization.

4034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4034240 is about 2008.5417595858. The cubic root of 4034240 is about 159.1917573571.

Adding to 4034240 its reverse (424304), we get a palindrome (4458544).

The spelling of 4034240 in words is "four million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1801 2240 3602 7204 9005 12607 14408 18010 25214 28816 36020 50428 57632 63035 72040 100856 115264 126070 144080 201712 252140 288160 403424 504280 576320 806848 1008560 2017120 4034240