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3422430400 = 265219311083
BaseRepresentation
bin1100101111111110…
…0010010011000000
322211111220110220111
43023333202103000
524002120233100
61323334321104
7150545115124
oct31377422300
98744813814
103422430400
1114a6966684
127b61b9194
1342707a55c
14246769584
151506d86ba
hexcbfe24c0

3422430400 has 84 divisors (see below), whose sum is σ = 8465715352. Its totient is φ = 1361756160.

The previous prime is 3422430373. The next prime is 3422430409. The reversal of 3422430400 is 40342243.

3422430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3422430409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303259 + ... + 314341.

Almost surely, 23422430400 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 3422430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232857676).

3422430400 is an abundant number, since it is smaller than the sum of its proper divisors (5043284952).

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

3422430400 is a wasteful number, since it uses less digits than its factorization.

3422430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11298 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3422430400 is about 58501.5418600228. The cubic root of 3422430400 is about 1506.9940639532.

Adding to 3422430400 its reverse (40342243), we get a palindrome (3462772643).

The spelling of 3422430400 in words is "three billion, four hundred twenty-two million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 193 200 320 386 400 772 800 965 1544 1600 1930 3088 3860 4825 6176 7720 9650 11083 12352 15440 19300 22166 30880 38600 44332 55415 61760 77200 88664 110830 154400 177328 221660 277075 308800 354656 443320 554150 709312 886640 1108300 1773280 2139019 2216600 3546560 4278038 4433200 8556076 8866400 10695095 17112152 17732800 21390190 34224304 42780380 53475475 68448608 85560760 106950950 136897216 171121520 213901900 342243040 427803800 684486080 855607600 1711215200 3422430400