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3480784 = 241767191
BaseRepresentation
bin1101010001110011010000
320112211201221
431101303100
51342341114
6202334424
741405026
oct15216320
96484657
103480784
111a6818a
1211ba414
1394b448
14668716
1548b524
hex351cd0

3480784 has 40 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 1605120.

The previous prime is 3480769. The next prime is 3480791. The reversal of 3480784 is 4870843.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18129 + ... + 18319.

Almost surely, 23480784 is an apocalyptic number.

3480784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

3480784 is an abundant number, since it is smaller than the sum of its proper divisors (3804464).

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

3480784 is a wasteful number, since it uses less digits than its factorization.

3480784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 3480784 is about 1865.6859328408. The cubic root of 3480784 is about 151.5510761716.

The spelling of 3480784 in words is "three million, four hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 191 268 272 382 536 764 1072 1139 1528 2278 3056 3247 4556 6494 9112 12797 12988 18224 25594 25976 51188 51952 102376 204752 217549 435098 870196 1740392 3480784