Search a number
-
+
1350944 = 25737163
BaseRepresentation
bin101001001110100100000
32112122010222
411021310200
5321212234
644542212
714324420
oct5116440
92478128
101350944
11842a91
12551968
13383b9a
14272480
151ba42e
hex149d20

1350944 has 48 divisors (see below), whose sum is σ = 3140928. Its totient is φ = 559872.

The previous prime is 1350911. The next prime is 1350959. The reversal of 1350944 is 4490531.

It is a super-2 number, since 2×13509442 = 3650099382272, which contains 22 as substring.

It is an Ulam number.

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, 8207 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (65436).

21350944 is an apocalyptic number.

1350944 is a gapful number since it is divisible by the number (14) 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 1350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570464).

1350944 is an abundant number, since it is smaller than the sum of its proper divisors (1789984).

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

1350944 is a wasteful number, since it uses less digits than its factorization.

1350944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1350944 is about 1162.3011657914. The cubic root of 1350944 is about 110.5466998884.

The spelling of 1350944 in words is "one million, three hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 163 224 259 296 326 518 592 652 1036 1141 1184 1304 2072 2282 2608 4144 4564 5216 6031 8288 9128 12062 18256 24124 36512 42217 48248 84434 96496 168868 192992 337736 675472 1350944