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394261728 = 25372920231
BaseRepresentation
bin10111011111111…
…111010011100000
31000110212120102020
4113133333103200
51301412333403
6103042221440
712525112050
oct2737772340
91013776366
10394261728
11192606743
12b0054880
13638b2783
143a50d560
152492d453
hex177ff4e0

394261728 has 96 divisors (see below), whose sum is σ = 1223631360. Its totient is φ = 108756480.

The previous prime is 394261687. The next prime is 394261771. The reversal of 394261728 is 827162493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 394261728.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9373 + ... + 29603.

It is an arithmetic number, because the mean of its divisors is an integer number (12746160).

Almost surely, 2394261728 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 394261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611815680).

394261728 is an abundant number, since it is smaller than the sum of its proper divisors (829369632).

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

394261728 is a wasteful number, since it uses less digits than its factorization.

394261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20280 (or 20272 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 394261728 is about 19856.0249798392. The cubic root of 394261728 is about 733.2659868365.

The spelling of 394261728 in words is "three hundred ninety-four million, two hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 20231 40462 60693 80924 121386 141617 161848 242772 283234 323696 424851 485544 566468 586699 647392 849702 971088 1132936 1173398 1699404 1760097 1942176 2265872 2346796 3398808 3520194 4106893 4531744 4693592 6797616 7040388 8213786 9387184 12320679 13595232 14080776 16427572 18774368 24641358 28161552 32855144 49282716 56323104 65710288 98565432 131420576 197130864 394261728