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3381924 = 22371319163
BaseRepresentation
bin1100111001101010100100
320100211010110
430321222210
51331210144
6200253020
740513560
oct14715244
96324113
103381924
1119aa987
121171170
13915450
146406a0
1546c0b9
hex339aa4

3381924 has 96 divisors (see below), whose sum is σ = 10286080. Its totient is φ = 839808.

The previous prime is 3381923. The next prime is 3381971. The reversal of 3381924 is 4291833.

3381924 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 2×33819242 = 22874819883552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3381891 and 3381900.

It is not an unprimeable number, because it can be changed into a prime (3381923) 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, 20667 + ... + 20829.

Almost surely, 23381924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143040).

3381924 is an abundant number, since it is smaller than the sum of its proper divisors (6904156).

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

3381924 is a wasteful number, since it uses less digits than its factorization.

3381924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3381924 is about 1839.0008156605. Note that the first 3 decimals coincide. The cubic root of 3381924 is about 150.1025077096.

Subtracting 3381924 from its reverse (4291833), we obtain a palindrome (909909).

The spelling of 3381924 in words is "three million, three hundred eighty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 163 182 228 247 266 273 326 364 399 489 494 532 546 652 741 798 978 988 1092 1141 1482 1596 1729 1956 2119 2282 2964 3097 3423 3458 4238 4564 5187 6194 6357 6846 6916 8476 9291 10374 12388 12714 13692 14833 18582 20748 21679 25428 29666 37164 40261 43358 44499 59332 65037 80522 86716 88998 120783 130074 161044 177996 241566 260148 281827 483132 563654 845481 1127308 1690962 3381924