Search a number
-
+
400341220 = 225234121227
BaseRepresentation
bin10111110111001…
…011100011100100
31000220022102220121
4113313023203210
51304441404340
6103420411324
712630562366
oct2767134344
91026272817
10400341220
11195a89314
12b20a6b44
1364c309c6
143b252d36
152522e94a
hex17dcb8e4

400341220 has 48 divisors (see below), whose sum is σ = 898708608. Its totient is φ = 149431040.

The previous prime is 400341199. The next prime is 400341283. The reversal of 400341220 is 22143004.

It is a junction number, because it is equal to n+sod(n) for n = 400341194 and 400341203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8247 + ... + 29473.

It is an arithmetic number, because the mean of its divisors is an integer number (18723096).

Almost surely, 2400341220 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 400341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449354304).

400341220 is an abundant number, since it is smaller than the sum of its proper divisors (498367388).

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

400341220 is a wasteful number, since it uses less digits than its factorization.

400341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400341220 is about 20008.5286815398. The cubic root of 400341220 is about 737.0157510532.

Adding to 400341220 its reverse (22143004), we get a palindrome (422484224).

The spelling of 400341220 in words is "four hundred million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 21227 42454 84908 106135 212270 424540 488221 870307 976442 1740614 1952884 2441105 3481228 4351535 4882210 8703070 9764420 17406140 20017061 40034122 80068244 100085305 200170610 400341220