Search a number
-
+
3434020122 = 23131072571601
BaseRepresentation
bin1100110010101110…
…1111110100011010
322212022201022000110
43030223233310122
524013102120442
61324430545150
7151045455321
oct31453576432
98768638013
103434020122
111502462165
127ba0681b6
134295a7890
142481050b8
1515172769c
hexccaefd1a

3434020122 has 64 divisors (see below), whose sum is σ = 7499205504. Its totient is φ = 1042022400.

The previous prime is 3434020087. The next prime is 3434020141. The reversal of 3434020122 is 2210204343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144122 + ... + 2145722.

It is an arithmetic number, because the mean of its divisors is an integer number (117175086).

Almost surely, 23434020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749602752).

3434020122 is an abundant number, since it is smaller than the sum of its proper divisors (4065185382).

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

3434020122 is a wasteful number, since it uses less digits than its factorization.

3434020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3434020122 is about 58600.5129841028. The cubic root of 3434020122 is about 1508.6932428020.

Adding to 3434020122 its reverse (2210204343), we get a palindrome (5644224465).

The spelling of 3434020122 in words is "three billion, four hundred thirty-four million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 257 321 514 642 771 1391 1542 1601 2782 3202 3341 4173 4803 6682 8346 9606 10023 20046 20813 27499 41626 54998 62439 82497 124878 164994 171307 342614 357487 411457 513921 714974 822914 1027842 1072461 1234371 2144922 2226991 2468742 4453982 5348941 6680973 10697882 13361946 16046823 32093646 44025899 88051798 132077697 264155394 572336687 1144673374 1717010061 3434020122