Search a number
-
+
403230016 = 2672711811
BaseRepresentation
bin11000000010001…
…100110101000000
31001002202012121001
4120002030311000
51311211330031
6104002341344
712664253500
oct3002146500
91032665531
10403230016
11197681752
12b305a854
1365702857
143b7a5a00
1525600861
hex1808cd40

403230016 has 84 divisors (see below), whose sum is σ = 944428896. Its totient is φ = 170284800.

The previous prime is 403229999. The next prime is 403230031. The reversal of 403230016 is 610032304.

It is a junction number, because it is equal to n+sod(n) for n = 403229975 and 403230002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221751 + ... + 223561.

Almost surely, 2403230016 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 403230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472214448).

403230016 is an abundant number, since it is smaller than the sum of its proper divisors (541198880).

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

403230016 is a wasteful number, since it uses less digits than its factorization.

403230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 403230016 is about 20080.5880391985. The cubic root of 403230016 is about 738.7842320632.

The spelling of 403230016 in words is "four hundred three million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 142 196 224 284 392 448 497 568 784 994 1136 1568 1811 1988 2272 3136 3479 3622 3976 4544 6958 7244 7952 12677 13916 14488 15904 25354 27832 28976 31808 50708 55664 57952 88739 101416 111328 115904 128581 177478 202832 222656 257162 354956 405664 514324 709912 811328 900067 1028648 1419824 1800134 2057296 2839648 3600268 4114592 5679296 6300469 7200536 8229184 12600938 14401072 25201876 28802144 50403752 57604288 100807504 201615008 403230016