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1342432728 = 2332713331619
BaseRepresentation
bin101000000000011…
…1110010111011000
310110120000122111200
41100000332113120
510222130321403
6341112554200
745160330020
oct12000762730
93416018450
101342432728
1162984a63a
123156b2960
13185173bc0
14ca408a80
157ccc2ca3
hex5003e5d8

1342432728 has 192 divisors, whose sum is σ = 4495545600. Its totient is φ = 352408320.

The previous prime is 1342432717. The next prime is 1342432877. The reversal of 1342432728 is 8272342431.

It is a happy number.

1342432728 is a `hidden beast` number, since 1 + 342 + 43 + 272 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1342432692 and 1342432701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2168403 + ... + 2169021.

It is an arithmetic number, because the mean of its divisors is an integer number (23414300).

Almost surely, 21342432728 is an apocalyptic number.

1342432728 is a gapful number since it is divisible by the number (18) 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 1342432728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247772800).

1342432728 is an abundant number, since it is smaller than the sum of its proper divisors (3153112872).

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

1342432728 is a wasteful number, since it uses less digits than its factorization.

1342432728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 1342432728 is about 36639.2239000774. The cubic root of 1342432728 is about 1103.1405369740.

The spelling of 1342432728 in words is "one billion, three hundred forty-two million, four hundred thirty-two thousand, seven hundred twenty-eight".