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1346368 = 26109193
BaseRepresentation
bin101001000101101000000
32112101212111
411020231000
5321040433
644505104
714305162
oct5105500
92471774
101346368
1183a601
1254b194
13381a8a
14270932
151b8dcd
hex148b40

1346368 has 28 divisors (see below), whose sum is σ = 2710180. Its totient is φ = 663552.

The previous prime is 1346363. The next prime is 1346369. The reversal of 1346368 is 8636431.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 719104 = 792^2 + 848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346363) 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 3 ways as a sum of consecutive naturals, for example, 6880 + ... + 7072.

21346368 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 1346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355090).

1346368 is an abundant number, since it is smaller than the sum of its proper divisors (1363812).

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

1346368 is a wasteful number, since it uses less digits than its factorization.

1346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 1346368 is about 1160.3309872618. The cubic root of 1346368 is about 110.4217418497.

It can be divided in two parts, 13463 and 68, that added together give a palindrome (13531).

The spelling of 1346368 in words is "one million, three hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 193 218 386 436 772 872 1544 1744 3088 3488 6176 6976 12352 21037 42074 84148 168296 336592 673184 1346368