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3350120 = 235611373
BaseRepresentation
bin1100110001111001101000
320022012111112
430301321220
51324200440
6155445452
740322054
oct14617150
96265445
103350120
111988aa4
121156888
13903b27
14632c64
15462965
hex331e68

3350120 has 32 divisors (see below), whose sum is σ = 7666920. Its totient is φ = 1317120.

The previous prime is 3350107. The next prime is 3350131. The reversal of 3350120 is 210533.

3350120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 574564 = 1666^2 + 758^2 .

It is a super-2 number, since 2×33501202 = 22446608028800, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3350095 and 3350104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1754 + ... + 3126.

Almost surely, 23350120 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 3350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833460).

3350120 is an abundant number, since it is smaller than the sum of its proper divisors (4316800).

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

3350120 is a wasteful number, since it uses less digits than its factorization.

3350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3350120 is about 1830.3333029806. Note that the first 4 decimals coincide. The cubic root of 3350120 is about 149.6304979430.

Adding to 3350120 its reverse (210533), we get a palindrome (3560653).

The spelling of 3350120 in words is "three million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 1373 2440 2746 5492 6865 10984 13730 27460 54920 83753 167506 335012 418765 670024 837530 1675060 3350120