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395238032 = 24717416183
BaseRepresentation
bin10111100011101…
…101101010010000
31000112201011122122
4113203231222100
51302140104112
6103115153412
712536316320
oct2743555220
91015634578
10395238032
11193113202
12b0445868
1363b64c77
143a6c5280
1524a72872
hex178eda90

395238032 has 160 divisors (see below), whose sum is σ = 976437504. Its totient is φ = 151142400.

The previous prime is 395238029. The next prime is 395238037. The reversal of 395238032 is 230832593.

It is a junction number, because it is equal to n+sod(n) for n = 395237983 and 395238001.

It is not an unprimeable number, because it can be changed into a prime (395238037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4761863 + ... + 4761945.

Almost surely, 2395238032 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 395238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488218752).

395238032 is an abundant number, since it is smaller than the sum of its proper divisors (581199472).

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

395238032 is a wasteful number, since it uses less digits than its factorization.

395238032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 395238032 is about 19880.5943573124. The cubic root of 395238032 is about 733.8707461970.

The spelling of 395238032 in words is "three hundred ninety-five million, two hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 61 68 82 83 112 119 122 136 164 166 238 244 272 287 328 332 427 476 488 574 581 656 664 697 854 952 976 1037 1148 1162 1328 1394 1411 1708 1904 2074 2296 2324 2501 2788 2822 3403 3416 4148 4592 4648 4879 5002 5063 5576 5644 6806 6832 7259 8296 9296 9758 9877 10004 10126 11152 11288 13612 14518 16592 17507 19516 19754 20008 20252 22576 23821 27224 29036 35014 35441 39032 39508 40016 40504 42517 47642 54448 57851 58072 70028 70882 78064 79016 81008 85034 86071 95284 115702 116144 140056 141764 158032 170068 172142 190568 207583 231404 280112 283528 297619 340136 344284 381136 404957 415166 462808 567056 595238 602497 680272 688568 809914 830332 925616 1190476 1204994 1377136 1453081 1619828 1660664 2380952 2409988 2906162 3239656 3321328 3528911 4761904 4819976 5812324 6479312 7057822 9639952 11624648 14115644 23249296 24702377 28231288 49404754 56462576 98809508 197619016 395238032