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3428334 = 2327213223
BaseRepresentation
bin1101000100111111101110
320110011210100
431010333232
51334201314
6201251530
741066100
oct15047756
96404710
103428334
111a31838
121193ba6
13930600
14653570
1547ac09
hex344fee

3428334 has 108 divisors (see below), whose sum is σ = 9763416. Its totient is φ = 864864.

The previous prime is 3428329. The next prime is 3428353. The reversal of 3428334 is 4338243.

Its product of digits (6912) is a multiple of the sum of its prime divisors (48).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3428298 and 3428307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 149047 + ... + 149069.

It is an arithmetic number, because the mean of its divisors is an integer number (90402).

Almost surely, 23428334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881708).

3428334 is an abundant number, since it is smaller than the sum of its proper divisors (6335082).

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

3428334 is a wasteful number, since it uses less digits than its factorization.

3428334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3428334 is about 1851.5760853932. The cubic root of 3428334 is about 150.7860074215.

Subtracting 3428334 from its reverse (4338243), we obtain a palindrome (909909).

The spelling of 3428334 in words is "three million, four hundred twenty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 49 63 69 78 91 98 117 126 138 147 161 169 182 207 234 273 294 299 322 338 414 441 483 507 546 598 637 819 882 897 966 1014 1127 1183 1274 1449 1521 1638 1794 1911 2093 2254 2366 2691 2898 3042 3381 3549 3822 3887 4186 5382 5733 6279 6762 7098 7774 8281 10143 10647 11466 11661 12558 14651 16562 18837 20286 21294 23322 24843 27209 29302 34983 37674 43953 49686 54418 69966 74529 81627 87906 131859 149058 163254 190463 244881 263718 380926 489762 571389 1142778 1714167 3428334