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3308424 = 233747419
BaseRepresentation
bin1100100111101110001000
320020002022020
430213232020
51321332144
6154524440
740056360
oct14475610
96202266
103308424
11195a739
121136720
138bab62
146219a0
15455419
hex327b88

3308424 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 922944.

The previous prime is 3308423. The next prime is 3308447. The reversal of 3308424 is 4248033.

3308424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3308394 and 3308403.

It is not an unprimeable number, because it can be changed into a prime (3308423) 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 15 ways as a sum of consecutive naturals, for example, 7687 + ... + 8105.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 23308424 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 3308424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3308424 is an abundant number, since it is smaller than the sum of its proper divisors (6368376).

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

3308424 is a wasteful number, since it uses less digits than its factorization.

3308424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3308424 is about 1818.9073643262. The cubic root of 3308424 is about 149.0071314695.

The spelling of 3308424 in words is "three million, three hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 419 564 658 838 987 1128 1257 1316 1676 1974 2514 2632 2933 3352 3948 5028 5866 7896 8799 10056 11732 17598 19693 23464 35196 39386 59079 70392 78772 118158 137851 157544 236316 275702 413553 472632 551404 827106 1102808 1654212 3308424