Search a number
-
+
3387440 = 245723263
BaseRepresentation
bin1100111011000000110000
320101002200202
430323000300
51331344230
6200334332
740535630
oct14730060
96332622
103387440
111a04041
1211743a8
13917b04
146426c0
1546da45
hex33b030

3387440 has 80 divisors (see below), whose sum is σ = 9427968. Its totient is φ = 1106688.

The previous prime is 3387421. The next prime is 3387443. The reversal of 3387440 is 447833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33874402 = 22949499507200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12749 + ... + 13011.

Almost surely, 23387440 is an apocalyptic number.

It is a pronic number, being equal to 1840×1841.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984).

3387440 is an abundant number, since it is smaller than the sum of its proper divisors (6040528).

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

3387440 is a wasteful number, since it uses less digits than its factorization.

3387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 3387440 is about 1840.4999320837. The cubic root of 3387440 is about 150.1840703247.

The spelling of 3387440 in words is "three million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 263 280 322 368 460 526 560 644 805 920 1052 1288 1315 1610 1840 1841 2104 2576 2630 3220 3682 4208 5260 6049 6440 7364 9205 10520 12098 12880 14728 18410 21040 24196 29456 30245 36820 42343 48392 60490 73640 84686 96784 120980 147280 169372 211715 241960 338744 423430 483920 677488 846860 1693720 3387440