Search a number
-
+
400303330232 = 2313199715113831
BaseRepresentation
bin1011101001100111111…
…00000001001110111000
31102021020211100010211212
411310303330001032320
523024310123031412
6503521413342252
740630614110501
oct5646374011670
91367224303755
10400303330232
11144849880943
12656b8937988
132b996433ba0
14155365a1ba8
15a62d364222
hex5d33f013b8

400303330232 has 128 divisors (see below), whose sum is σ = 865374182400. Its totient is φ = 172067328000.

The previous prime is 400303330201. The next prime is 400303330241. The reversal of 400303330232 is 232033303004.

It is a junction number, because it is equal to n+sod(n) for n = 400303330198 and 400303330207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28935557 + ... + 28949387.

It is an arithmetic number, because the mean of its divisors is an integer number (6760735800).

Almost surely, 2400303330232 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 400303330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432687091200).

400303330232 is an abundant number, since it is smaller than the sum of its proper divisors (465070852168).

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

400303330232 is a wasteful number, since it uses less digits than its factorization.

400303330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 400303330232 its reverse (232033303004), we get a palindrome (632336633236).

The spelling of 400303330232 in words is "four hundred billion, three hundred three million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 97 104 151 152 194 247 302 388 494 604 776 988 1208 1261 1843 1963 1976 2522 2869 3686 3926 5044 5738 7372 7852 10088 11476 13831 14647 14744 15704 22952 23959 27662 29294 37297 47918 55324 58588 74594 95836 110648 117176 149188 179803 190411 191672 262789 278293 298376 359606 380822 525578 556586 719212 761644 1051156 1113172 1341607 1438424 1523288 2088481 2102312 2226344 2683214 3416257 3617809 4176962 5366428 6832514 7235618 8353924 10732856 13665028 14471236 16707848 17440891 25490533 27150253 27330056 28942472 34881782 39681139 50981066 54300506 69763564 79362278 101962132 108601012 139527128 158724556 202582657 203924264 217202024 317449112 331376929 405165314 515854807 662753858 810330628 1031709614 1325507716 1620661256 2063419228 2633574541 2651015432 3849070483 4126838456 5267149082 7698140966 10534298164 15396281932 21068596328 30792563864 50037916279 100075832558 200151665116 400303330232