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3482528 = 25722221
BaseRepresentation
bin1101010010001110100000
320112221010112
431102032200
51342420103
6202350452
741413100
oct15221640
96487115
103482528
111a69525
1211bb428
1394c18a
14669200
1548bcd8
hex3523a0

3482528 has 36 divisors (see below), whose sum is σ = 7979202. Its totient is φ = 1491840.

The previous prime is 3482519. The next prime is 3482539. The reversal of 3482528 is 8252843.

3482528 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2729104 + 753424 = 1652^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3482494 and 3482503.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458 + ... + 2678.

Almost surely, 23482528 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 3482528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989601).

3482528 is an abundant number, since it is smaller than the sum of its proper divisors (4496674).

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

3482528 is a wasteful number, since it uses less digits than its factorization.

3482528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2230 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 3482528 is about 1866.1532627306. The cubic root of 3482528 is about 151.5763828216.

The spelling of 3482528 in words is "three million, four hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2221 4442 8884 15547 17768 31094 35536 62188 71072 108829 124376 217658 248752 435316 497504 870632 1741264 3482528