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3484848 = 24379919
BaseRepresentation
bin1101010010110010110000
320120001022110
431102302300
51343003343
6202405320
741422623
oct15226260
96501273
103484848
111a70244
121200840
13950253
14669dba
1548c833
hex352cb0

3484848 has 40 divisors (see below), whose sum is σ = 9126400. Its totient is φ = 1145664.

The previous prime is 3484841. The next prime is 3484861. The reversal of 3484848 is 8484843.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3484841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3333 + ... + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (228160).

Almost surely, 23484848 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 3484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563200).

3484848 is an abundant number, since it is smaller than the sum of its proper divisors (5641552).

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

3484848 is a wasteful number, since it uses less digits than its factorization.

3484848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1003 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 3484848 is about 1866.7747587751. The cubic root of 3484848 is about 151.6100345393.

It can be divided in two parts, 348484 and 8, that multiplied together give a palindrome (2787872).

The spelling of 3484848 in words is "three million, four hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 919 948 1264 1838 1896 2757 3676 3792 5514 7352 11028 14704 22056 44112 72601 145202 217803 290404 435606 580808 871212 1161616 1742424 3484848