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3482856 = 233213612
BaseRepresentation
bin1101010010010011101000
320112221120200
431102103220
51342422411
6202352200
741414046
oct15222350
96487520
103482856
111a697a3
1211bb660
1394c380
14669396
1548be56
hex3524e8

3482856 has 72 divisors (see below), whose sum is σ = 10327590. Its totient is φ = 1054080.

The previous prime is 3482851. The next prime is 3482887. The reversal of 3482856 is 6582843.

It can be written as a sum of positive squares in 3 ways, for example, as 476100 + 3006756 = 690^2 + 1734^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3482856.

It is not an unprimeable number, because it can be changed into a prime (3482851) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57066 + ... + 57126.

Almost surely, 23482856 is an apocalyptic number.

3482856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163795).

3482856 is an abundant number, since it is smaller than the sum of its proper divisors (6844734).

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

3482856 is a wasteful number, since it uses less digits than its factorization.

3482856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 79 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3482856 is about 1866.2411419750. The cubic root of 3482856 is about 151.5811413852.

The spelling of 3482856 in words is "three million, four hundred eighty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 3721 4392 4758 6344 7137 7442 9516 11163 14274 14884 19032 22326 28548 29768 33489 44652 48373 57096 66978 89304 96746 133956 145119 193492 267912 290238 386984 435357 580476 870714 1160952 1741428 3482856