Search a number
-
+
2430254736 = 24327131943227
BaseRepresentation
bin1001000011011010…
…1011111010010000
320021100221201202200
42100312223322100
514434121122421
61041052443200
7114136552530
oct22066537220
96240851680
102430254736
1110378a7398
12579a79500
132c964c870
14190a974c0
15e3550726
hex90dabe90

2430254736 has 480 divisors, whose sum is σ = 9056087040. Its totient is φ = 590478336.

The previous prime is 2430254731. The next prime is 2430254747. The reversal of 2430254736 is 6374520342.

It is a super-2 number, since 2×24302547362 = 11812276163700859392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2430254736.

It is not an unprimeable number, because it can be changed into a prime (2430254731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10705855 + ... + 10706081.

It is an arithmetic number, because the mean of its divisors is an integer number (18866848).

Almost surely, 22430254736 is an apocalyptic number.

2430254736 is a gapful number since it is divisible by the number (26) 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 2430254736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528043520).

2430254736 is an abundant number, since it is smaller than the sum of its proper divisors (6625832304).

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

2430254736 is a wasteful number, since it uses less digits than its factorization.

2430254736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2430254736 is about 49297.6138976320. The cubic root of 2430254736 is about 1344.4684007256.

The spelling of 2430254736 in words is "two billion, four hundred thirty million, two hundred fifty-four thousand, seven hundred thirty-six".