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1345028544 = 26331971577
BaseRepresentation
bin101000000101011…
…1000000111000000
310110201220112022000
41100022320013000
510223311403134
6341244344000
745221361006
oct12012700700
93421815260
101345028544
11630262942
12316545000
131858725a2
14ca8c2a76
157d136e99
hex502b81c0

1345028544 has 224 divisors, whose sum is σ = 4228185600. Its totient is φ = 418037760.

The previous prime is 1345028543. The next prime is 1345028549. The reversal of 1345028544 is 4458205431.

It is a happy number.

1345028544 is a `hidden beast` number, since 1 + 34 + 502 + 85 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1345028499 and 1345028508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345028543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330784 + ... + 2331360.

Almost surely, 21345028544 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 1345028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114092800).

1345028544 is an abundant number, since it is smaller than the sum of its proper divisors (2883157056).

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

1345028544 is a wasteful number, since it uses less digits than its factorization.

1345028544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1345028544 is about 36674.6307956876. The cubic root of 1345028544 is about 1103.8511141376.

The spelling of 1345028544 in words is "one billion, three hundred forty-five million, twenty-eight thousand, five hundred forty-four".