Search a number
-
+
400336434 = 2321710712227
BaseRepresentation
bin10111110111001…
…010011000110010
31000220022012100100
4113313022120302
51304441231214
6103420333230
712630542421
oct2767123062
91026265310
10400336434
11195a85763
12b20a4216
1364c2b784
143b2512b8
152522d309
hex17dca632

400336434 has 48 divisors (see below), whose sum is σ = 927078048. Its totient is φ = 124411776.

The previous prime is 400336429. The next prime is 400336439. The reversal of 400336434 is 434633004.

It is an interprime number because it is at equal distance from previous prime (400336429) and next prime (400336439).

It is a junction number, because it is equal to n+sod(n) for n = 400336398 and 400336407.

It is not an unprimeable number, because it can be changed into a prime (400336439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26629 + ... + 38855.

It is an arithmetic number, because the mean of its divisors is an integer number (19314126).

Almost surely, 2400336434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400336434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463539024).

400336434 is an abundant number, since it is smaller than the sum of its proper divisors (526741614).

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

400336434 is a wasteful number, since it uses less digits than its factorization.

400336434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 400336434 is about 20008.4090821834. The cubic root of 400336434 is about 737.0128140824.

Adding to 400336434 its reverse (434633004), we get a palindrome (834969438).

The spelling of 400336434 in words is "four hundred million, three hundred thirty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 306 321 642 963 1819 1926 3638 5457 10914 12227 16371 24454 32742 36681 73362 110043 207859 220086 415718 623577 1247154 1308289 1870731 2616578 3741462 3924867 7849734 11774601 22240913 23549202 44481826 66722739 133445478 200168217 400336434