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3430014224 = 247134994721
BaseRepresentation
bin1100110001110001…
…1101110100010000
322212001011202221212
43030130131310100
524011040423344
61324205035252
7150666432320
oct31434356420
98761152855
103430014224
1115001764aa
127b8855b28
13428804420
14247781280
151511d579e
hexcc71dd10

3430014224 has 80 divisors (see below), whose sum is σ = 8197392000. Its totient is φ = 1353922560.

The previous prime is 3430014193. The next prime is 3430014233. The reversal of 3430014224 is 4224100343.

It is a self number, because there is not a number n which added to its sum of digits gives 3430014224.

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, 724184 + ... + 728904.

It is an arithmetic number, because the mean of its divisors is an integer number (102467400).

Almost surely, 23430014224 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 3430014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098696000).

3430014224 is an abundant number, since it is smaller than the sum of its proper divisors (4767377776).

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

3430014224 is a wasteful number, since it uses less digits than its factorization.

3430014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3430014224 is about 58566.3232924861. The cubic root of 3430014224 is about 1508.1063676915.

Adding to 3430014224 its reverse (4224100343), we get a palindrome (7654114567).

The spelling of 3430014224 in words is "three billion, four hundred thirty million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 499 728 998 1456 1996 3493 3992 4721 6487 6986 7984 9442 12974 13972 18884 25948 27944 33047 37768 45409 51896 55888 61373 66094 75536 90818 103792 122746 132188 181636 245492 264376 363272 429611 490984 528752 726544 859222 981968 1718444 2355779 3436888 4711558 6873776 9423116 16490453 18846232 30625127 32980906 37692464 61250254 65961812 122500508 131923624 214375889 245001016 263847248 428751778 490002032 857503556 1715007112 3430014224