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4034143224 = 233343343133
BaseRepresentation
bin1111000001110100…
…0010001111111000
3101102010221201011000
43300131002033320
531230220040344
61504145405000
7201653436336
oct36035021770
911363851130
104034143224
111790194571
12947039760
134c3a174c7
142a3ac0b56
1518926ba69
hexf07423f8

4034143224 has 64 divisors (see below), whose sum is σ = 11232093600. Its totient is φ = 1341577728.

The previous prime is 4034143219. The next prime is 4034143247. The reversal of 4034143224 is 4223414304.

It is a happy number.

4034143224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40341432242 = 32548623103490228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71962 + ... + 115094.

Almost surely, 24034143224 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 4034143224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616046800).

4034143224 is an abundant number, since it is smaller than the sum of its proper divisors (7197950376).

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

4034143224 is a wasteful number, since it uses less digits than its factorization.

4034143224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43581 (or 43571 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4034143224 is about 63514.9055261834. The cubic root of 4034143224 is about 1591.9048441480.

Adding to 4034143224 its reverse (4223414304), we get a palindrome (8257557528).

The spelling of 4034143224 in words is "four billion, thirty-four million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 433 866 1299 1732 2598 3464 3897 5196 7794 10392 11691 15588 23382 31176 43133 46764 86266 93528 129399 172532 258798 345064 388197 517596 776394 1035192 1164591 1552788 2329182 3105576 4658364 9316728 18676589 37353178 56029767 74706356 112059534 149412712 168089301 224119068 336178602 448238136 504267903 672357204 1008535806 1344714408 2017071612 4034143224