Search a number
-
+
3424034304 = 29321494987
BaseRepresentation
bin1100110000010110…
…1001111000000000
322211121220222001100
43030011221320000
524003023044204
61323432534400
7150564545205
oct31405517000
98747828040
103424034304
1114a7861719
127b6851400
134274bc602
14246a65cac
15150903a39
hexcc169e00

3424034304 has 120 divisors (see below), whose sum is σ = 9950311800. Its totient is φ = 1133457408.

The previous prime is 3424034303. The next prime is 3424034309. The reversal of 3424034304 is 4034304243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424034303) 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, 684099 + ... + 689085.

It is an arithmetic number, because the mean of its divisors is an integer number (82919265).

Almost surely, 23424034304 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 3424034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975155900).

3424034304 is an abundant number, since it is smaller than the sum of its proper divisors (6526277496).

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

3424034304 is a wasteful number, since it uses less digits than its factorization.

3424034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3424034304 is about 58515.2484742225. The cubic root of 3424034304 is about 1507.2294421338.

Adding to 3424034304 its reverse (4034304243), we get a palindrome (7458338547).

The spelling of 3424034304 in words is "three billion, four hundred twenty-four million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 512 576 596 768 894 1152 1192 1341 1536 1788 2304 2384 2682 3576 4608 4768 4987 5364 7152 9536 9974 10728 14304 14961 19072 19948 21456 28608 29922 38144 39896 42912 44883 57216 59844 76288 79792 85824 89766 114432 119688 159584 171648 179532 228864 239376 319168 343296 359064 478752 638336 686592 718128 743063 957504 1276672 1436256 1486126 1915008 2229189 2553344 2872512 2972252 3830016 4458378 5745024 5944504 6687567 7660032 8916756 11490048 11889008 13375134 17833512 22980096 23778016 26750268 35667024 47556032 53500536 71334048 95112064 107001072 142668096 190224128 214002144 285336192 380448256 428004288 570672384 856008576 1141344768 1712017152 3424034304