Search a number
-
+
2434096 = 247103211
BaseRepresentation
bin1001010010010000110000
311120122221201
421102100300
51110342341
6124100544
726455330
oct11222060
94518851
102434096
111412855
12994754
13672bc2
144750c0
15331331
hex252430

2434096 has 40 divisors (see below), whose sum is σ = 5467904. Its totient is φ = 1028160.

The previous prime is 2434087. The next prime is 2434097. The reversal of 2434096 is 6904342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2434097) 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 in 7 ways as a sum of consecutive naturals, for example, 11431 + ... + 11641.

22434096 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 2434096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733952).

2434096 is an abundant number, since it is smaller than the sum of its proper divisors (3033808).

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

2434096 is a wasteful number, since it uses less digits than its factorization.

2434096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2434096 is about 1560.1589662595. The cubic root of 2434096 is about 134.5176384049.

The spelling of 2434096 in words is "two million, four hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 211 412 422 721 824 844 1442 1477 1648 1688 2884 2954 3376 5768 5908 11536 11816 21733 23632 43466 86932 152131 173864 304262 347728 608524 1217048 2434096