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3424864 = 251943131
BaseRepresentation
bin1101000100001001100000
320110000000211
431010021200
51334043424
6201223504
741053012
oct15041140
96400024
103424864
111a2a173
121191b94
1392bb61
146521b2
15479b94
hex344260

3424864 has 48 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 1572480.

The previous prime is 3424819. The next prime is 3424879. The reversal of 3424864 is 4684243.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26079 + ... + 26209.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 23424864 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 3424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

3424864 is an abundant number, since it is smaller than the sum of its proper divisors (3893216).

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

3424864 is a wasteful number, since it uses less digits than its factorization.

3424864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 3424864 is about 1850.6388086280. The cubic root of 3424864 is about 150.7351173901.

The spelling of 3424864 in words is "three million, four hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 131 152 172 262 304 344 524 608 688 817 1048 1376 1634 2096 2489 3268 4192 4978 5633 6536 9956 11266 13072 19912 22532 26144 39824 45064 79648 90128 107027 180256 214054 428108 856216 1712432 3424864