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3379628 = 227243401
BaseRepresentation
bin1100111001000110101100
320100200222102
430321012230
51331122003
6200234232
740504100
oct14710654
96320872
103379628
1119a918a
12116b978
139143a5
1463d900
1546b588
hex3391ac

3379628 has 36 divisors (see below), whose sum is σ = 7057512. Its totient is φ = 1411200.

The previous prime is 3379619. The next prime is 3379633. The reversal of 3379628 is 8269733.

3379628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33796282 = 22843770836768, which contains 22 as substring.

It is a d-powerful number, because it can be written as 313 + 313 + 73 + 95 + 6 + 217 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 3379591 and 3379600.

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 11 ways as a sum of consecutive naturals, for example, 8228 + ... + 8628.

It is an arithmetic number, because the mean of its divisors is an integer number (196042).

Almost surely, 23379628 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 3379628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528756).

3379628 is an abundant number, since it is smaller than the sum of its proper divisors (3677884).

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

3379628 is a wasteful number, since it uses less digits than its factorization.

3379628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3379628 is about 1838.3764576386. The cubic root of 3379628 is about 150.0685316476.

The spelling of 3379628 in words is "three million, three hundred seventy-nine thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 401 602 802 1204 1604 2107 2807 4214 5614 8428 11228 17243 19649 34486 39298 68972 78596 120701 241402 482804 844907 1689814 3379628