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3409780 = 2251121409
BaseRepresentation
bin1101000000011101110100
320102020100011
431000131310
51333103110
6201030004
740661023
oct15003564
96366304
103409780
111a19900
121185304
1392502a
1464a8ba
1547548a
hex340774

3409780 has 36 divisors (see below), whose sum is σ = 7876260. Its totient is φ = 1239040.

The previous prime is 3409753. The next prime is 3409781. The reversal of 3409780 is 879043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 2944656 = 682^2 + 1716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1716 + ... + 3124.

It is an arithmetic number, because the mean of its divisors is an integer number (218785).

Almost surely, 23409780 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 3409780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938130).

3409780 is an abundant number, since it is smaller than the sum of its proper divisors (4466480).

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

3409780 is a wasteful number, since it uses less digits than its factorization.

3409780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3409780 is about 1846.5589619614. The cubic root of 3409780 is about 150.5134993759.

The spelling of 3409780 in words is "three million, four hundred nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1409 2420 2818 5636 7045 14090 15499 28180 30998 61996 77495 154990 170489 309980 340978 681956 852445 1704890 3409780