Search a number
-
+
1404422304 = 253103173821
BaseRepresentation
bin101001110110101…
…1100100010100000
310121212200001012220
41103231130202200
510334013003204
6351205351040
746542251445
oct12355344240
93555601186
101404422304
1166083a29a
12332408480
13194c6961c
14d47439cc
158346a1d9
hex53b5c8a0

1404422304 has 96 divisors (see below), whose sum is σ = 3748477824. Its totient is φ = 460354560.

The previous prime is 1404422303. The next prime is 1404422329. The reversal of 1404422304 is 4032244041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1404422303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1710214 + ... + 1711034.

It is an arithmetic number, because the mean of its divisors is an integer number (39046644).

Almost surely, 21404422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874238912).

1404422304 is an abundant number, since it is smaller than the sum of its proper divisors (2344055520).

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

1404422304 is a wasteful number, since it uses less digits than its factorization.

1404422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

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

The square root of 1404422304 is about 37475.6227966928. The cubic root of 1404422304 is about 1119.8656046221.

Adding to 1404422304 its reverse (4032244041), we get a palindrome (5436666345).

The spelling of 1404422304 in words is "one billion, four hundred four million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 173 206 309 346 412 519 618 692 821 824 1038 1236 1384 1642 1648 2076 2463 2472 2768 3284 3296 4152 4926 4944 5536 6568 8304 9852 9888 13136 16608 17819 19704 26272 35638 39408 53457 71276 78816 84563 106914 142033 142552 169126 213828 253689 284066 285104 338252 426099 427656 507378 568132 570208 676504 852198 855312 1014756 1136264 1353008 1704396 1710624 2029512 2272528 2706016 3408792 4059024 4545056 6817584 8118048 13635168 14629399 29258798 43888197 58517596 87776394 117035192 175552788 234070384 351105576 468140768 702211152 1404422304