Search a number
-
+
398418804 = 22337279953
BaseRepresentation
bin10111101111110…
…110001101110100
31000202200202212000
4113233312031310
51303443400204
6103311255300
712605334600
oct2757661564
91022622760
10398418804
11194995a43
12b151a530
1364709994
143acb2500
1524ea0039
hex17bf6374

398418804 has 144 divisors (see below), whose sum is σ = 1218067200. Its totient is φ = 112275072.

The previous prime is 398418739. The next prime is 398418821. The reversal of 398418804 is 408814893.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 398418804.

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 47 ways as a sum of consecutive naturals, for example, 417592 + ... + 418544.

It is an arithmetic number, because the mean of its divisors is an integer number (8458800).

Almost surely, 2398418804 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 398418804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609033600).

398418804 is an abundant number, since it is smaller than the sum of its proper divisors (819648396).

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

398418804 is a wasteful number, since it uses less digits than its factorization.

398418804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 398418804 is about 19960.4309572714. The cubic root of 398418804 is about 735.8341549962.

The spelling of 398418804 in words is "three hundred ninety-eight million, four hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 79 84 98 108 126 147 158 189 196 237 252 294 316 378 441 474 553 588 711 756 882 948 953 1106 1323 1422 1659 1764 1906 2133 2212 2646 2844 2859 3318 3812 3871 4266 4977 5292 5718 6636 6671 7742 8532 8577 9954 11436 11613 13342 14931 15484 17154 19908 20013 23226 25731 26684 29862 34308 34839 40026 46452 46697 51462 59724 60039 69678 75287 80052 93394 102924 104517 120078 139356 140091 150574 180117 186788 209034 225861 240156 280182 301148 360234 418068 420273 451722 527009 560364 677583 720468 840546 903444 1054018 1260819 1355166 1581027 1681092 2032749 2108036 2521638 2710332 3162054 3689063 4065498 4743081 5043276 6324108 7378126 8130996 9486162 11067189 14229243 14756252 18972324 22134378 28458486 33201567 44268756 56916972 66403134 99604701 132806268 199209402 398418804