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394778046 = 231317283211
BaseRepresentation
bin10111100001111…
…101010110111110
31000111211210200010
4113201331112332
51302030344141
6103101244050
712532362255
oct2741752676
91014753603
10394778046
11192929653
12b0263626
1363a337a0
143a60579c
15249d1416
hex1787d5be

394778046 has 96 divisors (see below), whose sum is σ = 918465408. Its totient is φ = 112412160.

The previous prime is 394778017. The next prime is 394778047. The reversal of 394778046 is 640877493.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 394777986 and 394778004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394778047) 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 47 ways as a sum of consecutive naturals, for example, 1870881 + ... + 1871091.

It is an arithmetic number, because the mean of its divisors is an integer number (9567348).

Almost surely, 2394778046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394778046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459232704).

394778046 is an abundant number, since it is smaller than the sum of its proper divisors (523687362).

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

394778046 is a wasteful number, since it uses less digits than its factorization.

394778046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 394778046 is about 19869.0222708617. The cubic root of 394778046 is about 733.5859378170.

The spelling of 394778046 in words is "three hundred ninety-four million, seven hundred seventy-eight thousand, forty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 83 102 166 211 221 249 289 422 442 498 578 633 663 867 1079 1266 1326 1411 1734 2158 2743 2822 3237 3587 3757 4233 5486 6474 7174 7514 8229 8466 10761 11271 16458 17513 18343 21522 22542 23987 35026 36686 46631 47974 52539 55029 60979 71961 93262 105078 110058 121958 139893 143922 182937 227669 279786 297721 311831 365874 455338 595442 623662 683007 792727 893163 935493 1366014 1585454 1786326 1870986 2378181 3870373 4756362 5061257 7740746 10122514 11611119 15183771 23222238 30367542 65796341 131592682 197389023 394778046