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1345456 = 24741293
BaseRepresentation
bin101001000011110110000
32112100121201
411020132300
5321023311
644500544
714302420
oct5103660
92470551
101345456
11839952
1254a754
13381538
14270480
151b89c1
hex1487b0

1345456 has 40 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 560640.

The previous prime is 1345453. The next prime is 1345457. The reversal of 1345456 is 6545431.

1345456 is nontrivially palindromic in base 6.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1345451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446 + ... + 4738.

21345456 is an apocalyptic number.

1345456 is a gapful number since it is divisible by the number (16) 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 1345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

1345456 is an abundant number, since it is smaller than the sum of its proper divisors (1716848).

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

1345456 is a wasteful number, since it uses less digits than its factorization.

1345456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 1345456 is about 1159.9379293738. The cubic root of 1345456 is about 110.3968038002.

It can be divided in two parts, 13454 and 56, that multiplied together give a square (753424 = 8682).

The spelling of 1345456 in words is "one million, three hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 293 328 574 586 656 1148 1172 2051 2296 2344 4102 4592 4688 8204 12013 16408 24026 32816 48052 84091 96104 168182 192208 336364 672728 1345456