Search a number
-
+
2402404312 = 2371129181743
BaseRepresentation
bin1000111100110001…
…1100011111011000
320012102112210011111
42033030130133120
514410003414222
61034215510104
7113351046130
oct21714343730
96172483144
102402404312
111023104a10
12570688334
132c394b119
1418b0c7ac0
15e0d9d777
hex8f31c7d8

2402404312 has 128 divisors (see below), whose sum is σ = 5849625600. Its totient is φ = 897523200.

The previous prime is 2402404309. The next prime is 2402404343. The reversal of 2402404312 is 2134042042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3233013 + ... + 3233755.

It is an arithmetic number, because the mean of its divisors is an integer number (45700200).

Almost surely, 22402404312 is an apocalyptic number.

2402404312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

2402404312 is an abundant number, since it is smaller than the sum of its proper divisors (3447221288).

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

2402404312 is a wasteful number, since it uses less digits than its factorization.

2402404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2402404312 is about 49014.3276195849. The cubic root of 2402404312 is about 1339.3128414148.

Adding to 2402404312 its reverse (2134042042), we get a palindrome (4536446354).

The spelling of 2402404312 in words is "two billion, four hundred two million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 181 203 232 308 319 362 406 616 638 724 743 812 1267 1276 1448 1486 1624 1991 2233 2534 2552 2972 3982 4466 5068 5201 5249 5944 7964 8173 8932 10136 10402 10498 13937 15928 16346 17864 20804 20996 21547 27874 32692 36743 41608 41992 43094 55748 57211 57739 65384 73486 86188 111496 114422 115478 134483 146972 150829 172376 228844 230956 237017 268966 293944 301658 404173 457688 461912 474034 537932 603316 808346 941381 948068 1075864 1206632 1479313 1616692 1659119 1882762 1896136 2958626 3233384 3318238 3765524 3900007 5917252 6636476 7531048 7800014 10355191 11834504 13272952 15600028 20710382 27300049 31200056 41420764 42900077 54600098 82841528 85800154 109200196 171600308 218400392 300300539 343200616 600601078 1201202156 2402404312