Search a number
-
+
400346430 = 235111771363
BaseRepresentation
bin10111110111001…
…100110100111110
31000220022201001120
4113313030310332
51304442041210
6103420451410
712630613521
oct2767146476
91026281046
10400346430
11195a92220
12b20a9b66
1364c331a3
143b254bb8
1525231270
hex17dccd3e

400346430 has 64 divisors (see below), whose sum is σ = 1109852928. Its totient is φ = 91343360.

The previous prime is 400346407. The next prime is 400346437. The reversal of 400346430 is 34643004.

It is a self number, because there is not a number n which added to its sum of digits gives 400346430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400346437) 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 31 ways as a sum of consecutive naturals, for example, 30072 + ... + 41291.

It is an arithmetic number, because the mean of its divisors is an integer number (17341452).

Almost surely, 2400346430 is an apocalyptic number.

400346430 is an abundant number, since it is smaller than the sum of its proper divisors (709506498).

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

400346430 is a wasteful number, since it uses less digits than its factorization.

400346430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71401.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 400346430 is about 20008.6588755968. The cubic root of 400346430 is about 737.0189481887.

Adding to 400346430 its reverse (34643004), we get a palindrome (434989434).

It can be divided in two parts, 40034 and 6430, that added together give a palindrome (46464).

The spelling of 400346430 in words is "four hundred million, three hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 71363 142726 214089 356815 428178 713630 784993 1070445 1213171 1569986 2140890 2354979 2426342 3639513 3924965 4709958 6065855 7279026 7849930 11774895 12131710 13344881 18197565 23549790 26689762 36395130 40034643 66724405 80069286 133448810 200173215 400346430