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1340032 = 2719229
BaseRepresentation
bin101000111001010000000
32112002011211
411013022000
5320340112
644415504
714250541
oct5071200
92462154
101340032
11835871
12547594
1337bc25
1426c4c8
151b70a7
hex147280

1340032 has 48 divisors (see below), whose sum is σ = 2914650. Its totient is φ = 612864.

The previous prime is 1340021. The next prime is 1340033. The reversal of 1340032 is 2300431.

It can be written as a sum of positive squares in only one way, i.e., 1132096 + 207936 = 1064^2 + 456^2 .

It is a super-2 number, since 2×13400322 = 3591371522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1339994 and 1340021.

It is not an unprimeable number, because it can be changed into a prime (1340033) 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 5 ways as a sum of consecutive naturals, for example, 46194 + ... + 46222.

21340032 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 1340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457325).

1340032 is an abundant number, since it is smaller than the sum of its proper divisors (1574618).

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

1340032 is an equidigital number, since it uses as much as digits as its factorization.

1340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1340032 is about 1157.5975120913. The cubic root of 1340032 is about 110.2482547290.

Adding to 1340032 its reverse (2300431), we get a palindrome (3640463).

The spelling of 1340032 in words is "one million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 361 464 551 608 722 928 1102 1216 1444 1856 2204 2432 2888 3712 4408 5776 8816 10469 11552 17632 20938 23104 35264 41876 46208 70528 83752 167504 335008 670016 1340032