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3428416818 = 2323723732
BaseRepresentation
bin1100110001011001…
…0111110100110010
322211221011121201200
43030112113310302
524010133314233
61324110512030
7150650030211
oct31426276462
98757147650
103428416818
1114aa285332
127b8205616
13428395308
14247487078
15150ebc313
hexcc597d32

3428416818 has 54 divisors (see below), whose sum is σ = 7654948119. Its totient is φ = 1108937952.

The previous prime is 3428416787. The next prime is 3428416847. The reversal of 3428416818 is 8186148243.

It can be written as a sum of positive squares in 5 ways, for example, as 3154282569 + 274134249 = 56163^2 + 16557^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41403.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9191280 + ... + 9191652.

Almost surely, 23428416818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428416818

3428416818 is an abundant number, since it is smaller than the sum of its proper divisors (4226531301).

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

3428416818 is an equidigital number, since it uses as much as digits as its factorization.

3428416818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 415 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3428416818 is about 58552.6841229333. The cubic root of 3428416818 is about 1507.8722158700.

The spelling of 3428416818 in words is "three billion, four hundred twenty-eight million, four hundred sixteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 373 666 746 1119 1369 2238 2738 3357 4107 6714 8214 12321 13801 24642 27602 41403 82806 124209 139129 248418 278258 417387 510637 834774 1021274 1252161 1531911 2504322 3063822 4595733 5147773 9191466 10295546 15443319 30886638 46329957 92659914 190467601 380935202 571402803 1142805606 1714208409 3428416818