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1370368 = 2853101
BaseRepresentation
bin101001110100100000000
32120121210101
411032210000
5322322433
645212144
714435146
oct5164400
92517711
101370368
1185663a
12561054
1338c98c
14279596
151c107d
hex14e900

1370368 has 36 divisors (see below), whose sum is σ = 2814588. Its totient is φ = 665600.

The previous prime is 1370359. The next prime is 1370377. The reversal of 1370368 is 8630731.

It is an interprime number because it is at equal distance from previous prime (1370359) and next prime (1370377).

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 186624 = 1088^2 + 432^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13518 + ... + 13618.

It is an arithmetic number, because the mean of its divisors is an integer number (78183).

21370368 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 1370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407294).

1370368 is an abundant number, since it is smaller than the sum of its proper divisors (1444220).

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

1370368 is an equidigital number, since it uses as much as digits as its factorization.

1370368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1370368 is about 1170.6271823258. The cubic root of 1370368 is about 111.0739976788.

Subtracting from 1370368 its sum of digits (28), we obtain a triangular number (1370340 = T1655).

The spelling of 1370368 in words is "one million, three hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 101 106 128 202 212 256 404 424 808 848 1616 1696 3232 3392 5353 6464 6784 10706 12928 13568 21412 25856 42824 85648 171296 342592 685184 1370368