Search a number
-
+
34406324244 = 22324720334707
BaseRepresentation
bin100000000010110001…
…101101100000010100
310021210211120100220100
4200002301231200110
51030431004333434
623450034534100
72325422634135
oct400261554024
9107724510810
1034406324244
1113656522716
126802737330
133324230856
14194572bc8c
15d658b1699
hex802c6d814

34406324244 has 36 divisors (see below), whose sum is σ = 88822004544. Its totient is φ = 11224757712.

The previous prime is 34406324233. The next prime is 34406324279. The reversal of 34406324244 is 44242360443.

34406324244 is a `hidden beast` number, since 3 + 4 + 406 + 3 + 2 + 4 + 244 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34406324199 and 34406324208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10165662 + ... + 10169045.

It is an arithmetic number, because the mean of its divisors is an integer number (2467277904).

Almost surely, 234406324244 is an apocalyptic number.

It is an amenable number.

34406324244 is an abundant number, since it is smaller than the sum of its proper divisors (54415680300).

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

34406324244 is a wasteful number, since it uses less digits than its factorization.

34406324244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20334764 (or 20334759 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34406324244 its reverse (44242360443), we get a palindrome (78648684687).

The spelling of 34406324244 in words is "thirty-four billion, four hundred six million, three hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 20334707 40669414 61004121 81338828 122008242 183012363 244016484 366024726 732049452 955731229 1911462458 2867193687 3822924916 5734387374 8601581061 11468774748 17203162122 34406324244