Search a number
-
+
3468608 = 261113379
BaseRepresentation
bin1101001110110101000000
320112020000222
431032311000
51341443413
6202202212
741324363
oct15166500
96466028
103468608
111a5a020
1211b3368
13945a40
146640da
15487b08
hex34ed40

3468608 has 56 divisors (see below), whose sum is σ = 8107680. Its totient is φ = 1451520.

The previous prime is 3468599. The next prime is 3468611. The reversal of 3468608 is 8068643.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8963 + ... + 9341.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 23468608 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 3468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053840).

3468608 is an abundant number, since it is smaller than the sum of its proper divisors (4639072).

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

3468608 is a wasteful number, since it uses less digits than its factorization.

3468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3468608 is about 1862.4199311648. The cubic root of 3468608 is about 151.3741580083.

Adding to 3468608 its sum of digits (35), we get a palindrome (3468643).

The spelling of 3468608 in words is "three million, four hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 379 416 572 704 758 832 1144 1516 2288 3032 4169 4576 4927 6064 8338 9152 9854 12128 16676 19708 24256 33352 39416 54197 66704 78832 108394 133408 157664 216788 266816 315328 433576 867152 1734304 3468608