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3387330 = 232561617
BaseRepresentation
bin1100111010111111000010
320101002112200
430322333002
51331343310
6200334030
740535412
oct14727702
96332480
103387330
111a03a51
121174316
13917a4b
14642642
1546d9c0
hex33afc2

3387330 has 48 divisors (see below), whose sum is σ = 8965944. Its totient is φ = 887040.

The previous prime is 3387323. The next prime is 3387331. The reversal of 3387330 is 337833.

It can be written as a sum of positive squares in 4 ways, for example, as 772641 + 2614689 = 879^2 + 1617^2 .

It is a super-2 number, since 2×33873302 = 22948009057800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3387294 and 3387303.

It is not an unprimeable number, because it can be changed into a prime (3387331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5182 + ... + 5798.

Almost surely, 23387330 is an apocalyptic number.

3387330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482972).

3387330 is an abundant number, since it is smaller than the sum of its proper divisors (5578614).

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

3387330 is a wasteful number, since it uses less digits than its factorization.

3387330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3387330 is about 1840.4700486560. The cubic root of 3387330 is about 150.1824446696.

The spelling of 3387330 in words is "three million, three hundred eighty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 617 915 1098 1234 1830 1851 2745 3085 3702 5490 5553 6170 9255 11106 18510 27765 37637 55530 75274 112911 188185 225822 338733 376370 564555 677466 1129110 1693665 3387330