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1424020304 = 247711311367
BaseRepresentation
bin101010011100000…
…1101001101010000
310200020112201121202
41110320031031100
510404022122204
6353145410332
750200654460
oct12470151520
93606481552
101424020304
11670905593
12338a999a8
1319903ba85
14d71a5ba0
158503be1e
hex54e0d350

1424020304 has 80 divisors (see below), whose sum is σ = 3224365056. Its totient is φ = 596668800.

The previous prime is 1424020289. The next prime is 1424020349. The reversal of 1424020304 is 4030204241.

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 15 ways as a sum of consecutive naturals, for example, 1041029 + ... + 1042395.

Almost surely, 21424020304 is an apocalyptic number.

1424020304 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 1424020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612182528).

1424020304 is an abundant number, since it is smaller than the sum of its proper divisors (1800344752).

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

1424020304 is a wasteful number, since it uses less digits than its factorization.

1424020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1424020304 is about 37736.1935547294. The cubic root of 1424020304 is about 1125.0506127682.

Adding to 1424020304 its reverse (4030204241), we get a palindrome (5454224545).

The spelling of 1424020304 in words is "one billion, four hundred twenty-four million, twenty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 131 142 262 284 497 524 568 917 994 1048 1136 1367 1834 1988 2096 2734 3668 3976 5468 7336 7952 9301 9569 10936 14672 18602 19138 21872 37204 38276 65107 74408 76552 97057 130214 148816 153104 179077 194114 260428 358154 388228 520856 679399 716308 776456 1041712 1253539 1358798 1432616 1552912 2507078 2717596 2865232 5014156 5435192 10028312 10870384 12714467 20056624 25428934 50857868 89001269 101715736 178002538 203431472 356005076 712010152 1424020304