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395350840 = 235471131861
BaseRepresentation
bin10111100100001…
…001001100111000
31000112220220101201
4113210021030320
51302202211330
6103121423544
712540266233
oct2744111470
91015826351
10395350840
1119318aa35
12b049abb4
1363ba4411
143a71441a
1524a95eca
hex17909338

395350840 has 64 divisors (see below), whose sum is σ = 916997760. Its totient is φ = 153323520.

The previous prime is 395350819. The next prime is 395350847. The reversal of 395350840 is 48053593.

It is a self number, because there is not a number n which added to its sum of digits gives 395350840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395350847) by changing a digit.

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, 211510 + ... + 213370.

It is an arithmetic number, because the mean of its divisors is an integer number (14328090).

Almost surely, 2395350840 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 395350840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458498880).

395350840 is an abundant number, since it is smaller than the sum of its proper divisors (521646920).

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

395350840 is a wasteful number, since it uses less digits than its factorization.

395350840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 395350840 is about 19883.4312934161. The cubic root of 395350840 is about 733.9405594989.

The spelling of 395350840 in words is "three hundred ninety-five million, three hundred fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 113 188 226 235 376 452 470 565 904 940 1130 1861 1880 2260 3722 4520 5311 7444 9305 10622 14888 18610 21244 26555 37220 42488 53110 74440 87467 106220 174934 210293 212440 349868 420586 437335 699736 841172 874670 1051465 1682344 1749340 2102930 3498680 4205860 8411720 9883771 19767542 39535084 49418855 79070168 98837710 197675420 395350840