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3482496 = 27323023
BaseRepresentation
bin1101010010001110000000
320112221002100
431102032000
51342414441
6202350400
741413023
oct15221600
96487070
103482496
111a694a6
1211bb400
1394c164
146691ba
1548bcb6
hex352380

3482496 has 48 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1160448.

The previous prime is 3482461. The next prime is 3482519. The reversal of 3482496 is 6942843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3482496.

It is a congruent number.

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, 360 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 23482496 is an apocalyptic number.

3482496 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 3482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3482496 is an abundant number, since it is smaller than the sum of its proper divisors (6542064).

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

3482496 is a wasteful number, since it uses less digits than its factorization.

3482496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3028 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3482496 is about 1866.1446889242. The cubic root of 3482496 is about 151.5759185555.

The spelling of 3482496 in words is "three million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3023 6046 9069 12092 18138 24184 27207 36276 48368 54414 72552 96736 108828 145104 193472 217656 290208 386944 435312 580416 870624 1160832 1741248 3482496