Search a number
-
+
4534434432 = 27351129457
BaseRepresentation
bin1000011100100010…
…11111101010000000
3102201000100010200000
410032101133222000
533241303400212
62025540400000
7220240025313
oct41621375200
912630303600
104534434432
111a1762a780
12a666a6000
13573571cc8
1431031097a
151b81411dc
hex10e45fa80

4534434432 has 384 divisors, whose sum is σ = 15304161600. Its totient is φ = 1323786240.

The previous prime is 4534434419. The next prime is 4534434469. The reversal of 4534434432 is 2344344354.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45344344322 = 41122191236214325248, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9921948 + ... + 9922404.

Almost surely, 24534434432 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 4534434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652080800).

4534434432 is an abundant number, since it is smaller than the sum of its proper divisors (10769727168).

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

4534434432 is a wasteful number, since it uses less digits than its factorization.

4534434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

The square root of 4534434432 is about 67338.2093020003. The cubic root of 4534434432 is about 1655.1640393197.

Adding to 4534434432 its reverse (2344344354), we get a palindrome (6878778786).

The spelling of 4534434432 in words is "four billion, five hundred thirty-four million, four hundred thirty-four thousand, four hundred thirty-two".