Search a number
-
+
1424430464 = 2714974687
BaseRepresentation
bin101010011100111…
…0001010110000000
310200021022120020212
41110321301112000
510404123233324
6353202253252
750204313332
oct12471612600
93607276225
101424430464
11671065766
12339057228
13199153682
14d7271452
15850bd70e
hex54e71580

1424430464 has 32 divisors (see below), whose sum is σ = 2856816000. Its totient is φ = 707425792.

The previous prime is 1424430463. The next prime is 1424430473. The reversal of 1424430464 is 4640344241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1424430464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424430463) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18272 + ... + 56415.

It is an arithmetic number, because the mean of its divisors is an integer number (89275500).

Almost surely, 21424430464 is an apocalyptic number.

It is an amenable number.

1424430464 is an abundant number, since it is smaller than the sum of its proper divisors (1432385536).

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

1424430464 is an equidigital number, since it uses as much as digits as its factorization.

1424430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74850 (or 74838 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 1424430464 is about 37741.6277338432. The cubic root of 1424430464 is about 1125.1586183590.

The spelling of 1424430464 in words is "one billion, four hundred twenty-four million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072 74687 149374 298748 597496 1194992 2389984 4779968 9559936 11128363 22256726 44513452 89026904 178053808 356107616 712215232 1424430464