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431304042 = 2313173759149
BaseRepresentation
bin11001101101010…
…010110101101010
31010001120111220210
4121231102311222
51340403212132
6110444201550
713455011121
oct3155226552
91101514823
10431304042
11201507124
121005392b6
136b481cc0
14413d2ab8
1527ce8bcc
hex19b52d6a

431304042 has 128 divisors (see below), whose sum is σ = 1034208000. Its totient is φ = 118665216.

The previous prime is 431304017. The next prime is 431304103. The reversal of 431304042 is 240403134.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2894584 + ... + 2894732.

It is an arithmetic number, because the mean of its divisors is an integer number (8079750).

Almost surely, 2431304042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431304042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

431304042 is an abundant number, since it is smaller than the sum of its proper divisors (602903958).

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

431304042 is a wasteful number, since it uses less digits than its factorization.

431304042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

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

The square root of 431304042 is about 20767.8607949880. The cubic root of 431304042 is about 755.5464616825.

Adding to 431304042 its reverse (240403134), we get a palindrome (671707176).

The spelling of 431304042 in words is "four hundred thirty-one million, three hundred four thousand, forty-two".

Divisors: 1 2 3 6 13 17 26 34 37 39 51 59 74 78 102 111 118 149 177 221 222 298 354 442 447 481 629 663 767 894 962 1003 1258 1326 1443 1534 1887 1937 2006 2183 2301 2533 2886 3009 3774 3874 4366 4602 5066 5513 5811 6018 6549 7599 8177 8791 11026 11622 13039 13098 15198 16354 16539 17582 24531 26078 26373 28379 32929 33078 37111 39117 49062 52746 56758 65858 71669 74222 78234 85137 93721 98787 111333 114283 143338 149447 170274 187442 197574 215007 222666 228566 281163 298894 325267 342849 430014 448341 482443 562326 650534 685698 896682 964886 975801 1218373 1447329 1942811 1951602 2436746 2894658 3655119 3885622 4228471 5529539 5828433 7310238 8456942 11059078 11656866 12685413 16588617 25370826 33177234 71884007 143768014 215652021 431304042