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4034272 = 251173157
BaseRepresentation
bin1111011000111011100000
321120221222111
433120323200
52013044042
6222245104
746201504
oct17307340
97527874
104034272
112306010
121426794
13ab3358
14770304
1554a517
hex3d8ee0

4034272 has 48 divisors (see below), whose sum is σ = 8839152. Its totient is φ = 1797120.

The previous prime is 4034249. The next prime is 4034273. The reversal of 4034272 is 2724304.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25618 + ... + 25774.

It is an arithmetic number, because the mean of its divisors is an integer number (184149).

Almost surely, 24034272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419576).

4034272 is an abundant number, since it is smaller than the sum of its proper divisors (4804880).

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

4034272 is a wasteful number, since it uses less digits than its factorization.

4034272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4034272 is about 2008.5497255483. The cubic root of 4034272 is about 159.1921782644.

Adding to 4034272 its reverse (2724304), we get a palindrome (6758576).

The spelling of 4034272 in words is "four million, thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 157 176 292 314 352 584 628 803 1168 1256 1606 1727 2336 2512 3212 3454 5024 6424 6908 11461 12848 13816 22922 25696 27632 45844 55264 91688 126071 183376 252142 366752 504284 1008568 2017136 4034272