Search a number
-
+
4034334688 = 252313141843
BaseRepresentation
bin1111000001110111…
…0000111111100000
3101102011022102210021
43300131300333200
531230242202223
61504153443224
7201655164466
oct36035607740
911364272707
104034334688
1117903053aa
12947110514
134c3a836b7
142a3b30836
151892a865d
hexf0770fe0

4034334688 has 48 divisors (see below), whose sum is σ = 8351392896. Its totient is φ = 1914689920.

The previous prime is 4034334683. The next prime is 4034334709. The reversal of 4034334688 is 8864334304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034334683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75495 + ... + 117337.

It is an arithmetic number, because the mean of its divisors is an integer number (173987352).

Almost surely, 24034334688 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 4034334688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175696448).

4034334688 is an abundant number, since it is smaller than the sum of its proper divisors (4317058208).

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

4034334688 is a wasteful number, since it uses less digits than its factorization.

4034334688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42007 (or 41999 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The square root of 4034334688 is about 63516.4127450535. The cubic root of 4034334688 is about 1591.9300281528.

The spelling of 4034334688 in words is "four billion, thirty-four million, three hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 131 184 262 368 524 736 1048 2096 3013 4192 6026 12052 24104 41843 48208 83686 96416 167372 334744 669488 962389 1338976 1924778 3849556 5481433 7699112 10962866 15398224 21925732 30796448 43851464 87702928 126072959 175405856 252145918 504291836 1008583672 2017167344 4034334688