Search a number
-
+
3487040 = 26517641
BaseRepresentation
bin1101010011010101000000
320120011022122
431103111000
51343041130
6202423412
741432204
oct15232500
96504278
103487040
111a71957
121201b68
1395124b
1466ab04
1548d2e5
hex353540

3487040 has 56 divisors (see below), whose sum is σ = 8805672. Its totient is φ = 1310720.

The previous prime is 3487037. The next prime is 3487049. The reversal of 3487040 is 407843.

3487040 = T344 + T345 + ... + T394.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 2027776 = 1208^2 + 1424^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5120 + ... + 5760.

Almost surely, 23487040 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 3487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402836).

3487040 is an abundant number, since it is smaller than the sum of its proper divisors (5318632).

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

3487040 is a wasteful number, since it uses less digits than its factorization.

3487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3487040 is about 1867.3617753397. The cubic root of 3487040 is about 151.6418158911.

The spelling of 3487040 in words is "three million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 641 680 1088 1282 1360 2564 2720 3205 5128 5440 6410 10256 10897 12820 20512 21794 25640 41024 43588 51280 54485 87176 102560 108970 174352 205120 217940 348704 435880 697408 871760 1743520 3487040