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1342336320 = 2633513171937
BaseRepresentation
bin101000000000010…
…0110110101000000
310110112211202021000
41100000212311000
510222114230240
6341110532000
745156445653
oct12000466500
93415752230
101342336320
11629794166
12315667000
1318513c060
14ca3c189a
157cca4430
hex50026d40

1342336320 has 896 divisors, whose sum is σ = 5837529600. Its totient is φ = 286654464.

The previous prime is 1342336291. The next prime is 1342336517. The reversal of 1342336320 is 236332431.

It is a happy number.

1342336320 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 336 + 320 = 666.

It is a super-2 number, since 2×13423363202 = 3603733591982284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36279342 + ... + 36279378.

It is an arithmetic number, because the mean of its divisors is an integer number (6515100).

Almost surely, 21342336320 is an apocalyptic number.

1342336320 is a gapful number since it is divisible by the number (10) 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 1342336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

1342336320 is an abundant number, since it is smaller than the sum of its proper divisors (4495193280).

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

1342336320 is a wasteful number, since it uses less digits than its factorization.

1342336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 1342336320 is about 36637.9082372343. The cubic root of 1342336320 is about 1103.1141286690.

Adding to 1342336320 its reverse (236332431), we get a palindrome (1578668751).

The spelling of 1342336320 in words is "one billion, three hundred forty-two million, three hundred thirty-six thousand, three hundred twenty".