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3484338 = 23111331131
BaseRepresentation
bin1101010010101010110010
320120000121120
431102222302
51342444323
6202403110
741421264
oct15225262
96500546
103484338
111a6a920
121200496
1394cc50
14669b34
1548c5e3
hex352ab2

3484338 has 64 divisors (see below), whose sum is σ = 8515584. Its totient is φ = 936000.

The previous prime is 3484331. The next prime is 3484361. The reversal of 3484338 is 8334843.

3484338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34843382 = 24281222596488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3484299 and 3484308.

It is not an unprimeable number, because it can be changed into a prime (3484331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26533 + ... + 26663.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 23484338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792).

3484338 is an abundant number, since it is smaller than the sum of its proper divisors (5031246).

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

3484338 is a wasteful number, since it uses less digits than its factorization.

3484338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 27648, while the sum is 33.

The square root of 3484338 is about 1866.6381545442. The cubic root of 3484338 is about 151.6026382445.

The spelling of 3484338 in words is "three million, four hundred eighty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 131 143 186 262 286 341 393 403 429 682 786 806 858 1023 1209 1441 1703 2046 2418 2882 3406 4061 4323 4433 5109 8122 8646 8866 10218 12183 13299 18733 24366 26598 37466 44671 52793 56199 89342 105586 112398 134013 158379 268026 316758 580723 1161446 1742169 3484338