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1242342304 = 25713740483
BaseRepresentation
bin100101000001100…
…1010001110100000
310012120200112020221
41022003022032200
510021014423204
6323135412424
742533510140
oct11203121640
93176615227
101242342304
115882a7185
122a8084114
1316a4cb1b8
14badd2920
1574101654
hex4a0ca3a0

1242342304 has 48 divisors (see below), whose sum is σ = 2815743168. Its totient is φ = 528532992.

The previous prime is 1242342293. The next prime is 1242342317. The reversal of 1242342304 is 4032432421.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 10447 + ... + 50929.

It is an arithmetic number, because the mean of its divisors is an integer number (58661316).

Almost surely, 21242342304 is an apocalyptic number.

1242342304 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 1242342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407871584).

1242342304 is an abundant number, since it is smaller than the sum of its proper divisors (1573400864).

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

1242342304 is a wasteful number, since it uses less digits than its factorization.

1242342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40637 (or 40629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1242342304 is about 35246.8765140970. The cubic root of 1242342304 is about 1075.0131035720.

Adding to 1242342304 its reverse (4032432421), we get a palindrome (5274774725).

The spelling of 1242342304 in words is "one billion, two hundred forty-two million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 7672 15344 30688 40483 80966 161932 283381 323864 566762 647728 1133524 1295456 2267048 4534096 5546171 9068192 11092342 22184684 38823197 44369368 77646394 88738736 155292788 177477472 310585576 621171152 1242342304