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394120818 = 232721337929
BaseRepresentation
bin10111011111011…
…100111001110010
31000110121102010100
4113133130321302
51301343331233
6103035213230
712523654200
oct2737347162
91013542110
10394120818
1119251a893
12abba7216
13638635b0
143a4b4070
1524901813
hex177dce72

394120818 has 144 divisors (see below), whose sum is σ = 1099851480. Its totient is φ = 101025792.

The previous prime is 394120813. The next prime is 394120829. The reversal of 394120818 is 818021493.

It can be written as a sum of positive squares in 4 ways, for example, as 236944449 + 157176369 = 15393^2 + 12537^2 .

It is not an unprimeable number, because it can be changed into a prime (394120813) 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 71 ways as a sum of consecutive naturals, for example, 423778 + ... + 424706.

Almost surely, 2394120818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394120818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549925740).

394120818 is an abundant number, since it is smaller than the sum of its proper divisors (705730662).

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

394120818 is a wasteful number, since it uses less digits than its factorization.

394120818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 394120818 is about 19852.4763694608. The cubic root of 394120818 is about 733.1786194738.

The spelling of 394120818 in words is "three hundred ninety-four million, one hundred twenty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 929 962 1274 1443 1554 1638 1813 1858 1911 2331 2787 2886 3367 3626 3822 4329 4662 5439 5574 5733 6503 6734 8361 8658 10101 10878 11466 12077 13006 16317 16722 19509 20202 23569 24154 30303 32634 34373 36231 39018 45521 47138 58527 60606 68746 70707 72462 84539 91042 103119 108693 117054 136563 141414 169078 206238 212121 217386 240611 253617 273126 309357 409689 424242 446849 481222 507234 591773 618714 721833 760851 819378 893698 1183546 1340547 1443666 1521702 1684277 1775319 2165499 2681094 3127943 3368554 3550638 4021641 4330998 5052831 5325957 6255886 8043282 9383829 10105662 10651914 15158493 18767658 21895601 28151487 30316986 43791202 56302974 65686803 131373606 197060409 394120818