Search a number
-
+
3385648230426 = 2327113124675443
BaseRepresentation
bin110001010001001000010…
…111000011000000011010
3102222122221122110012201200
4301101020113003000122
5420432301421333201
611111202331255030
7466414343062230
oct61211027030032
912878848405650
103385648230426
111095933187190
124681b28aa476
131b735aa068a7
14b9c1adb4950
155d1061c1386
hex314485c301a

3385648230426 has 288 divisors, whose sum is σ = 9472160715264. Its totient is φ = 849043425600.

The previous prime is 3385648230401. The next prime is 3385648230431. The reversal of 3385648230426 is 6240328465833.

3385648230426 is a `hidden beast` number, since 3 + 3 + 8 + 564 + 8 + 2 + 30 + 42 + 6 = 666.

It is a super-2 number, since 2×33856482304262 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 622016061 + ... + 622021503.

It is an arithmetic number, because the mean of its divisors is an integer number (32889446928).

Almost surely, 23385648230426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385648230426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736080357632).

3385648230426 is an abundant number, since it is smaller than the sum of its proper divisors (6086512484838).

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

3385648230426 is a wasteful number, since it uses less digits than its factorization.

3385648230426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3385648230426 in words is "three trillion, three hundred eighty-five billion, six hundred forty-eight million, two hundred thirty thousand, four hundred twenty-six".