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1342242240 = 263573107179
BaseRepresentation
bin101000000000000…
…1111110111000000
310110112122222012120
41100000033313000
510222103222430
6341104524240
745155604453
oct12000176700
93415588176
101342242240
1162972a509
12315620680
131851082a1
14ca39949a
157cc86610
hex5000fdc0

1342242240 has 224 divisors, whose sum is σ = 4384730880. Its totient is φ = 347774976.

The previous prime is 1342242203. The next prime is 1342242269. The reversal of 1342242240 is 422422431.

It is a super-2 number, since 2×13422422402 = 3603228461680435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1342242240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7498471 + ... + 7498649.

Almost surely, 21342242240 is an apocalyptic number.

1342242240 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 1342242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192365440).

1342242240 is an abundant number, since it is smaller than the sum of its proper divisors (3042488640).

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

1342242240 is a wasteful number, since it uses less digits than its factorization.

1342242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1342242240 is about 36636.6242986441. The cubic root of 1342242240 is about 1103.0883568361.

Adding to 1342242240 its reverse (422422431), we get a palindrome (1764664671).

The spelling of 1342242240 in words is "one billion, three hundred forty-two million, two hundred forty-two thousand, two hundred forty".