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3461128 = 2311371063
BaseRepresentation
bin1101001101000000001000
320111211202221
431031000020
51341224003
6202103424
741263516
oct15150010
96454687
103461128
111a54440
1211aab74
13942508
146614b6
154857bd
hex34d008

3461128 has 32 divisors (see below), whose sum is σ = 7277760. Its totient is φ = 1529280.

The previous prime is 3461123. The next prime is 3461137. The reversal of 3461128 is 8211643.

3461128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3461123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2725 + ... + 3787.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 23461128 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 3461128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880).

3461128 is an abundant number, since it is smaller than the sum of its proper divisors (3816632).

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

3461128 is a wasteful number, since it uses less digits than its factorization.

3461128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 3461128 is about 1860.4107073439. The cubic root of 3461128 is about 151.2652676799.

It can be divided in two parts, 346112 and 8, that multiplied together give a square (2768896 = 16642).

The spelling of 3461128 in words is "three million, four hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1063 1628 2126 3256 4252 8504 11693 23386 39331 46772 78662 93544 157324 314648 432641 865282 1730564 3461128