Search a number
-
+
2378430 = 233523383
BaseRepresentation
bin1001000100101010111110
311110211121000
421010222332
51102102210
6122551130
726134125
oct11045276
94424530
102378430
111384a4a
129684a6
13653772
1445cabc
1531eac0
hex244abe

2378430 has 64 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 605088.

The previous prime is 2378423. The next prime is 2378443. The reversal of 2378430 is 348732.

2378430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2378394 and 2378403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6019 + ... + 6401.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

22378430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

2378430 is an abundant number, since it is smaller than the sum of its proper divisors (4257090).

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

2378430 is a wasteful number, since it uses less digits than its factorization.

2378430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2378430 is about 1542.2159381876. The cubic root of 2378430 is about 133.4842804367.

The spelling of 2378430 in words is "two million, three hundred seventy-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 383 414 621 690 766 1035 1149 1242 1915 2070 2298 3105 3447 3830 5745 6210 6894 8809 10341 11490 17235 17618 20682 26427 34470 44045 51705 52854 79281 88090 103410 132135 158562 237843 264270 396405 475686 792810 1189215 2378430