Search a number
-
+
413440 = 2851719
BaseRepresentation
bin1100100111100000000
3210000010121
41210330000
5101212230
612510024
73341236
oct1447400
9700117
10413440
11262695
1217b314
13116251
14aa956
158277a
hex64f00

413440 has 72 divisors (see below), whose sum is σ = 1103760. Its totient is φ = 147456.

The previous prime is 413429. The next prime is 413443. The reversal of 413440 is 44314.

Adding to 413440 its reverse (44314), we get a palindrome (457754).

It can be divided in two parts, 41 and 3440, that added together give a square (3481 = 592).

413440 = 132 + 142 + ... + 1072.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21751 + ... + 21769.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2413440 is an apocalyptic number.

413440 is a gapful number since it is divisible by the number (40) 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 413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).

413440 is an abundant number, since it is smaller than the sum of its proper divisors (690320).

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

413440 is a wasteful number, since it uses less digits than its factorization.

413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 413440 is about 642.9930015171. The cubic root of 413440 is about 74.4967792851.

The spelling of 413440 in words is "four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 256 272 304 320 323 340 380 544 608 640 646 680 760 1088 1216 1280 1292 1360 1520 1615 2176 2432 2584 2720 3040 3230 4352 4864 5168 5440 6080 6460 10336 10880 12160 12920 20672 21760 24320 25840 41344 51680 82688 103360 206720 413440