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4045314 = 2371331239
BaseRepresentation
bin1111011011101000000010
321121112010110
433123220002
52013422224
6222412150
746245630
oct17335002
97545113
104045314
112313339
121431056
13ab83a0
14774350
1554d929
hex3dba02

4045314 has 64 divisors (see below), whose sum is σ = 10321920. Its totient is φ = 1028160.

The previous prime is 4045313. The next prime is 4045333. The reversal of 4045314 is 4135404.

4045314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4045313) 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 31 ways as a sum of consecutive naturals, for example, 16807 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 24045314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160960).

4045314 is an abundant number, since it is smaller than the sum of its proper divisors (6276606).

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

4045314 is a wasteful number, since it uses less digits than its factorization.

4045314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4045314 is about 2011.2965967256. The cubic root of 4045314 is about 159.3372848857.

It can be divided in two parts, 40 and 45314, that added together give a palindrome (45354).

The spelling of 4045314 in words is "four million, forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 239 273 403 434 478 546 651 717 806 1209 1302 1434 1673 2418 2821 3107 3346 5019 5642 6214 7409 8463 9321 10038 14818 16926 18642 21749 22227 43498 44454 51863 65247 96317 103726 130494 155589 192634 288951 311178 577902 674219 1348438 2022657 4045314