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395542332 = 223317972221
BaseRepresentation
bin10111100100110…
…111111100111100
31000120021122002000
4113210313330330
51302224323312
6103125502300
712542024433
oct2744677474
91016248060
10395542332
11193300899
12b0571990
1363c40623
143a76411a
1524ad2adc
hex17937f3c

395542332 has 96 divisors (see below), whose sum is σ = 1097490240. Its totient is φ = 122757120.

The previous prime is 395542331. The next prime is 395542363. The reversal of 395542332 is 233245593.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395542331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176982 + ... + 179202.

It is an arithmetic number, because the mean of its divisors is an integer number (11432190).

Almost surely, 2395542332 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 395542332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548745120).

395542332 is an abundant number, since it is smaller than the sum of its proper divisors (701947908).

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

395542332 is a wasteful number, since it uses less digits than its factorization.

395542332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2340 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 395542332 is about 19888.2460765146. The cubic root of 395542332 is about 734.0590374399.

The spelling of 395542332 in words is "three hundred ninety-five million, five hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 873 918 1164 1649 1746 1836 2221 2619 3298 3492 4442 4947 5238 6596 6663 8884 9894 10476 13326 14841 19788 19989 26652 29682 37757 39978 44523 59364 59967 75514 79956 89046 113271 119934 151028 178092 215437 226542 239868 339813 430874 453084 646311 679626 861748 1019439 1292622 1359252 1938933 2038878 2585244 3662429 3877866 4077756 5816799 7324858 7755732 10987287 11633598 14649716 21974574 23267196 32961861 43949148 65923722 98885583 131847444 197771166 395542332