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1342583424 = 27347131423
BaseRepresentation
bin101000000000110…
…0011001010000000
310110120022022020000
41100001203022000
510222200132144
6341120120000
745161525250
oct12001431200
93416268200
101342583424
11629942886
12315766000
131851c7680
14ca447960
157cd02769
hex50063280

1342583424 has 320 divisors, whose sum is σ = 4921002240. Its totient is φ = 353839104.

The previous prime is 1342583383. The next prime is 1342583441. The reversal of 1342583424 is 4243852431.

1342583424 is a `hidden beast` number, since 1 + 34 + 2 + 583 + 42 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 942777 + ... + 944199.

It is an arithmetic number, because the mean of its divisors is an integer number (15378132).

Almost surely, 21342583424 is an apocalyptic number.

1342583424 is a gapful number since it is divisible by the number (14) 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 1342583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460501120).

1342583424 is an abundant number, since it is smaller than the sum of its proper divisors (3578418816).

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

1342583424 is a wasteful number, since it uses less digits than its factorization.

1342583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1448 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1342583424 is about 36641.2803269755. The cubic root of 1342583424 is about 1103.1818134425.

The spelling of 1342583424 in words is "one billion, three hundred forty-two million, five hundred eighty-three thousand, four hundred twenty-four".