Search a number
-
+
400002300 = 2237523159
BaseRepresentation
bin10111110101111…
…000110011111100
31000212200020000000
4113311320303330
51304400033200
6103405234300
712624651315
oct2765706374
91025606000
10400002300
11195877715
12b1b62990
1364b42669
143b1a560c
15251b4300
hex17d78cfc

400002300 has 288 divisors, whose sum is σ = 1366579200. Its totient is φ = 101476800.

The previous prime is 400002293. The next prime is 400002311. The reversal of 400002300 is 3200004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6779671 + ... + 6779729.

Almost surely, 2400002300 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 400002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683289600).

400002300 is an abundant number, since it is smaller than the sum of its proper divisors (966576900).

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

400002300 is a wasteful number, since it uses less digits than its factorization.

400002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 400002300 is about 20000.0574999173. The cubic root of 400002300 is about 736.8077119374.

Adding to 400002300 its reverse (3200004), we get a palindrome (403202304).

The spelling of 400002300 in words is "four hundred million, two thousand, three hundred".