Search a number
-
+
3104768 = 213379
BaseRepresentation
bin1011110110000000000000
312211201221102
423312000000
51243323033
6150313532
735250542
oct13660000
95751842
103104768
111830727
1210588a8
13849254
145ab692
15414de8
hex2f6000

3104768 has 28 divisors (see below), whose sum is σ = 6225540. Its totient is φ = 1548288.

The previous prime is 3104767. The next prime is 3104789. The reversal of 3104768 is 8674013.

It is a self number, because there is not a number n which added to its sum of digits gives 3104768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8003 + ... + 8381.

Almost surely, 23104768 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 3104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112770).

3104768 is an abundant number, since it is smaller than the sum of its proper divisors (3120772).

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

3104768 is an frugal number, since it uses more digits than its factorization.

3104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3104768 is about 1762.0351869358. The cubic root of 3104768 is about 145.8846903382.

The spelling of 3104768 in words is "three million, one hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 379 512 758 1024 1516 2048 3032 4096 6064 8192 12128 24256 48512 97024 194048 388096 776192 1552384 3104768