Search a number
-
+
1340064 = 25341147
BaseRepresentation
bin101000111001010100000
32112002020000
411013022200
5320340224
644420000
714250615
oct5071240
92462200
101340064
118358a0
12547600
1337bc4b
1426c50c
151b70c9
hex1472a0

1340064 has 120 divisors (see below), whose sum is σ = 4390848. Its totient is φ = 397440.

The previous prime is 1340047. The next prime is 1340069. The reversal of 1340064 is 4600431.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1340069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28489 + ... + 28535.

21340064 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 1340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424).

1340064 is an abundant number, since it is smaller than the sum of its proper divisors (3050784).

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

1340064 is a wasteful number, since it uses less digits than its factorization.

1340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340064 is about 1157.6113337386. The cubic root of 1340064 is about 110.2491322992.

Adding to 1340064 its reverse (4600431), we get a palindrome (5940495).

The spelling of 1340064 in words is "one million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 47 48 54 66 72 81 88 94 96 99 108 132 141 144 162 176 188 198 216 264 282 288 297 324 352 376 396 423 432 517 528 564 594 648 752 792 846 864 891 1034 1056 1128 1188 1269 1296 1504 1551 1584 1692 1782 2068 2256 2376 2538 2592 3102 3168 3384 3564 3807 4136 4512 4653 4752 5076 6204 6768 7128 7614 8272 9306 9504 10152 12408 13536 13959 14256 15228 16544 18612 20304 24816 27918 28512 30456 37224 40608 41877 49632 55836 60912 74448 83754 111672 121824 148896 167508 223344 335016 446688 670032 1340064