Search a number
-
+
34432011324 = 22327313101983
BaseRepresentation
bin100000000100010011…
…101100110000111100
310021212121220101221200
4200010103230300330
51031004043330244
623452353255500
72326154160444
oct400423546074
9107777811850
1034432011324
1113669a77807
12680b264590
1333296556c9
141948cd7124
15d67c87669
hex8044ecc3c

34432011324 has 36 divisors (see below), whose sum is σ = 88228760256. Its totient is φ = 11320112448.

The previous prime is 34432011319. The next prime is 34432011343. The reversal of 34432011324 is 42311023443.

34432011324 is a `hidden beast` number, since 3 + 4 + 4 + 320 + 11 + 324 = 666.

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

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, 6548364 + ... + 6553619.

It is an arithmetic number, because the mean of its divisors is an integer number (2450798896).

Almost surely, 234432011324 is an apocalyptic number.

It is an amenable number.

34432011324 is an abundant number, since it is smaller than the sum of its proper divisors (53796748932).

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

34432011324 is a wasteful number, since it uses less digits than its factorization.

34432011324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13102066 (or 13102061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34432011324 its reverse (42311023443), we get a palindrome (76743034767).

The spelling of 34432011324 in words is "thirty-four billion, four hundred thirty-two million, eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 13101983 26203966 39305949 52407932 78611898 117917847 157223796 235835694 471671388 956444759 1912889518 2869334277 3825779036 5738668554 8608002831 11477337108 17216005662 34432011324