Search a number
-
+
3618263104 = 267321032
BaseRepresentation
bin1101011110101010…
…0101000001000000
3100100011101210212121
43113222211001000
524402233404404
61355011534024
7155443505011
oct32752450100
910304353777
103618263104
111597462695
1284b8ba314
13458805ab1
14264785008
151629bce54
hexd7aa5040

3618263104 has 63 divisors (see below), whose sum is σ = 7351057053. Its totient is φ = 1767025152.

The previous prime is 3618263093. The next prime is 3618263107. The reversal of 3618263104 is 4013628163.

It is a happy number.

The square root of 3618263104 is 60152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2053902400 + 1564360704 = 45320^2 + 39552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3618263104.

It is not an unprimeable number, because it can be changed into a prime (3618263107) 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 8 ways as a sum of consecutive naturals, for example, 35128717 + ... + 35128819.

Almost surely, 23618263104 is an apocalyptic number.

3618263104 is the 60152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3618263104

3618263104 is an abundant number, since it is smaller than the sum of its proper divisors (3732793949).

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

3618263104 is an frugal number, since it uses more digits than its factorization.

3618263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 3618263104 is about 1535.2061960977.

Multiplying 3618263104 by its product of nonzero digits (20736), we get a square (75028303724544 = 86618882).

The spelling of 3618263104 in words is "three billion, six hundred eighteen million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 73 103 146 206 292 412 584 824 1168 1648 2336 3296 4672 5329 6592 7519 10609 10658 15038 21218 21316 30076 42436 42632 60152 84872 85264 120304 169744 170528 240608 339488 341056 481216 548887 678976 774457 1097774 1548914 2195548 3097828 4391096 6195656 8782192 12391312 17564384 24782624 35128768 49565248 56535361 113070722 226141444 452282888 904565776 1809131552 3618263104