Search a number
-
+
3445311504 = 243731496599
BaseRepresentation
bin1100110101011011…
…0100100000010000
322220002221221212210
43031112310200100
524023444432004
61325512552120
7151243443645
oct31526644020
98802857783
103445311504
111508874588
128019b2640
1342ba2c17b
14249803dcc
15152708089
hexcd5b4810

3445311504 has 80 divisors (see below), whose sum is σ = 9084240000. Its totient is φ = 1124932608.

The previous prime is 3445311487. The next prime is 3445311509. The reversal of 3445311504 is 4051135443.

It is not an unprimeable number, because it can be changed into a prime (3445311509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518797 + ... + 525395.

It is an arithmetic number, because the mean of its divisors is an integer number (113553000).

Almost surely, 23445311504 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 3445311504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542120000).

3445311504 is an abundant number, since it is smaller than the sum of its proper divisors (5638928496).

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

3445311504 is a wasteful number, since it uses less digits than its factorization.

3445311504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3445311504 is about 58696.7759250881. The cubic root of 3445311504 is about 1510.3450089539.

Adding to 3445311504 its reverse (4051135443), we get a palindrome (7496446947).

The spelling of 3445311504 in words is "three billion, four hundred forty-five million, three hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 149 219 292 298 438 447 584 596 876 894 1168 1192 1752 1788 2384 3504 3576 6599 7152 10877 13198 19797 21754 26396 32631 39594 43508 52792 65262 79188 87016 105584 130524 158376 174032 261048 316752 481727 522096 963454 983251 1445181 1926908 1966502 2890362 2949753 3853816 3933004 5780724 5899506 7707632 7866008 11561448 11799012 15732016 23122896 23598024 47196048 71777323 143554646 215331969 287109292 430663938 574218584 861327876 1148437168 1722655752 3445311504