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3234816 = 2103513
BaseRepresentation
bin1100010101110000000000
320002100100000
430111300000
51312003231
6153200000
736331644
oct14256000
96070300
103234816
11190a402
121100000
138934c0
14602c24
1543d6e6
hex315c00

3234816 has 132 divisors (see below), whose sum is σ = 10431512. Its totient is φ = 995328.

The previous prime is 3234809. The next prime is 3234821. The reversal of 3234816 is 6184323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3456) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3234816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248826 + ... + 248838.

Almost surely, 23234816 is an apocalyptic number.

3234816 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 3234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215756).

3234816 is an abundant number, since it is smaller than the sum of its proper divisors (7196696).

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

3234816 is an equidigital number, since it uses as much as digits as its factorization.

3234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3234816 is about 1798.5594235387. The cubic root of 3234816 is about 147.8937635460.

The spelling of 3234816 in words is "three million, two hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 243 256 288 312 324 351 384 416 432 468 486 512 576 624 648 702 768 832 864 936 972 1024 1053 1152 1248 1296 1404 1536 1664 1728 1872 1944 2106 2304 2496 2592 2808 3072 3159 3328 3456 3744 3888 4212 4608 4992 5184 5616 6318 6656 6912 7488 7776 8424 9216 9984 10368 11232 12636 13312 13824 14976 15552 16848 19968 20736 22464 25272 27648 29952 31104 33696 39936 41472 44928 50544 59904 62208 67392 82944 89856 101088 119808 124416 134784 179712 202176 248832 269568 359424 404352 539136 808704 1078272 1617408 3234816