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2730348 = 2235532
BaseRepresentation
bin1010011010100101101100
312010201100000
422122211230
51144332343
6134304300
732131125
oct12324554
95121300
102730348
1115a5395
12ab8090
137479ba
1451104c
1538ded3
hex29a96c

2730348 has 54 divisors (see below), whose sum is σ = 7294924. Its totient is φ = 892944.

The previous prime is 2730347. The next prime is 2730383. The reversal of 2730348 is 8430372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2730348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×27303482 = 14909600402208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2730347) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 51490 + ... + 51542.

22730348 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 2730348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647462).

2730348 is an abundant number, since it is smaller than the sum of its proper divisors (4564576).

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

2730348 is an equidigital number, since it uses as much as digits as its factorization.

2730348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2730348 is about 1652.3764704207. The cubic root of 2730348 is about 139.7674370179.

Multiplying 2730348 by its sum of digits (27), we get a square (73719396 = 85862).

2730348 divided by its sum of digits (27) gives a square (101124 = 3182).

The spelling of 2730348 in words is "two million, seven hundred thirty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1431 1908 2809 2862 4293 5618 5724 8427 8586 11236 12879 16854 17172 25281 25758 33708 50562 51516 75843 101124 151686 227529 303372 455058 682587 910116 1365174 2730348