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3469312 = 2127112
BaseRepresentation
bin1101001111000000000000
320112021000001
431033000000
51342004222
6202205344
741326420
oct15170000
96467001
103469312
111a5a600
1211b3854
13946162
14664480
15487e27
hex34f000

3469312 has 78 divisors (see below), whose sum is σ = 8715224. Its totient is φ = 1351680.

The previous prime is 3469247. The next prime is 3469313. The reversal of 3469312 is 2139643.

It is a super-2 number, since 2×34693122 = 24072251506688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3469313) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 315387 + ... + 315397.

Almost surely, 23469312 is an apocalyptic number.

3469312 is a gapful number since it is divisible by the number (32) 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 3469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357612).

3469312 is an abundant number, since it is smaller than the sum of its proper divisors (5245912).

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

3469312 is an equidigital number, since it uses as much as digits as its factorization.

3469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 20 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 3469312 is about 1862.6089229895. The cubic root of 3469312 is about 151.3843984466.

Multiplying 3469312 by its sum of digits (28), we get a square (97140736 = 98562).

3469312 divided by its sum of digits (28) gives a square (123904 = 3522).

The spelling of 3469312 in words is "three million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 512 616 704 847 896 968 1024 1232 1408 1694 1792 1936 2048 2464 2816 3388 3584 3872 4096 4928 5632 6776 7168 7744 9856 11264 13552 14336 15488 19712 22528 27104 28672 30976 39424 45056 54208 61952 78848 108416 123904 157696 216832 247808 315392 433664 495616 867328 1734656 3469312