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395071940 = 225193728099
BaseRepresentation
bin10111100011000…
…101000111000100
31000112101201211002
4113203011013010
51302114300230
6103111432432
712535025144
oct2743050704
91015351732
10395071940
1119300a43a
12b0385718
1363b074a3
143a680924
1524a3d545
hex178c51c4

395071940 has 48 divisors (see below), whose sum is σ = 896952000. Its totient is φ = 145660032.

The previous prime is 395071939. The next prime is 395071973. The reversal of 395071940 is 49170593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 395071894 and 395071903.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11 + ... + 28109.

It is an arithmetic number, because the mean of its divisors is an integer number (18686500).

Almost surely, 2395071940 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 395071940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448476000).

395071940 is an abundant number, since it is smaller than the sum of its proper divisors (501880060).

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

395071940 is a wasteful number, since it uses less digits than its factorization.

395071940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 28162 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 395071940 is about 19876.4166790697. The cubic root of 395071940 is about 733.7679329316.

The spelling of 395071940 in words is "three hundred ninety-five million, seventy-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 28099 56198 112396 140495 280990 533881 561980 1039663 1067762 2079326 2135524 2669405 4158652 5198315 5338810 10396630 10677620 19753597 20793260 39507194 79014388 98767985 197535970 395071940