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4331134304 = 25725946817
BaseRepresentation
bin1000000100010011…
…11101110101100000
3102011211210102022122
410002021331311200
532332232244204
61553435123412
7212221014500
oct40211756540
912154712278
104331134304
1119228a3342
12a0a5a3568
13540400883
142d130da00
151a53840be
hex10227dd60

4331134304 has 72 divisors (see below), whose sum is σ = 10087406280. Its totient is φ = 1824700416.

The previous prime is 4331134277. The next prime is 4331134309. The reversal of 4331134304 is 4034311334.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331134309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69104 + ... + 115920.

It is an arithmetic number, because the mean of its divisors is an integer number (140102865).

Almost surely, 24331134304 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 4331134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043703140).

4331134304 is an abundant number, since it is smaller than the sum of its proper divisors (5756271976).

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

4331134304 is a wasteful number, since it uses less digits than its factorization.

4331134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46900 (or 46885 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 4331134304 is about 65811.3539140474. The cubic root of 4331134304 is about 1630.0485895160.

Adding to 4331134304 its reverse (4034311334), we get a palindrome (8365445638).

The spelling of 4331134304 in words is "four billion, three hundred thirty-one million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1568 1652 1888 2891 3304 5782 6608 11564 13216 23128 46256 46817 92512 93634 187268 327719 374536 655438 749072 1310876 1498144 2294033 2621752 2762203 4588066 5243504 5524406 9176132 10487008 11048812 18352264 19335421 22097624 36704528 38670842 44195248 73409056 77341684 88390496 135347947 154683368 270695894 309366736 541391788 618733472 1082783576 2165567152 4331134304