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1242232320 = 2935723301
BaseRepresentation
bin100101000001010…
…1111011000000000
310012120110221101110
41022002233120000
510021002413240
6323133203320
742532541400
oct11202573000
93176427343
101242232320
1158823158a
122a8030540
1316a490114
14bada4800
15740cdc80
hex4a0af600

1242232320 has 240 divisors, whose sum is σ = 4621030128. Its totient is φ = 283852800.

The previous prime is 1242232319. The next prime is 1242232333. The reversal of 1242232320 is 232322421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12422323202 = 3086282273705164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 374670 + ... + 377970.

Almost surely, 21242232320 is an apocalyptic number.

1242232320 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 1242232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310515064).

1242232320 is an abundant number, since it is smaller than the sum of its proper divisors (3378797808).

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

1242232320 is an equidigital number, since it uses as much as digits as its factorization.

1242232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1242232320 is about 35245.3162845789. The cubic root of 1242232320 is about 1074.9813791619.

Adding to 1242232320 its reverse (232322421), we get a palindrome (1474554741).

The spelling of 1242232320 in words is "one billion, two hundred forty-two million, two hundred thirty-two thousand, three hundred twenty".