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3483948 = 2231323971
BaseRepresentation
bin1101010010100100101100
320120000002010
431102210230
51342441243
6202401220
741420166
oct15224454
96500063
103483948
111a6a5a6
121200210
1394ca10
14669936
1548c433
hex35292c

3483948 has 48 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1024320.

The previous prime is 3483947. The next prime is 3483959. The reversal of 3483948 is 8493843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3483943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103 + ... + 4073.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 23483948 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 3483948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3483948 is an abundant number, since it is smaller than the sum of its proper divisors (5660628).

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

3483948 is a wasteful number, since it uses less digits than its factorization.

3483948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1012 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3483948 is about 1866.5336857394. The cubic root of 3483948 is about 151.5969817673.

The spelling of 3483948 in words is "three million, four hundred eighty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 971 1196 1794 1942 2913 3588 3884 5826 11652 12623 22333 25246 37869 44666 50492 66999 75738 89332 133998 151476 267996 290329 580658 870987 1161316 1741974 3483948