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3424820 = 2257171439
BaseRepresentation
bin1101000100001000110100
320102222222012
431010020310
51334043240
6201223352
741052620
oct15041064
96388865
103424820
111a2a133
121191b58
1392bb29
14652180
15479b65
hex344234

3424820 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1104384.

The previous prime is 3424819. The next prime is 3424879. The reversal of 3424820 is 284243.

3424820 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 23424820 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 3424820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3424820 is an abundant number, since it is smaller than the sum of its proper divisors (5284300).

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

3424820 is a wasteful number, since it uses less digits than its factorization.

3424820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3424820 is about 1850.6269208028. The cubic root of 3424820 is about 150.7344718780.

The spelling of 3424820 in words is "three million, four hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1439 2380 2878 5756 7195 10073 14390 20146 24463 28780 40292 48926 50365 97852 100730 122315 171241 201460 244630 342482 489260 684964 856205 1712410 3424820