Search a number
-
+
2328652480 = 265721123587
BaseRepresentation
bin1000101011001100…
…0110101011000000
320000021202210200011
42022303012223000
514232113334410
61023023034304
7111464135200
oct21263065300
96007683604
102328652480
11a95511090
1254ba3b994
132b159799b
141813aa400
15d968118a
hex8acc6ac0

2328652480 has 336 divisors, whose sum is σ = 7355287296. Its totient is φ = 693073920.

The previous prime is 2328652471. The next prime is 2328652489. The reversal of 2328652480 is 842568232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2328652471) and next prime (2328652489).

It is a super-2 number, since 2×23286524802 = 10845244745220300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2328652489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3966747 + ... + 3967333.

It is an arithmetic number, because the mean of its divisors is an integer number (21890736).

Almost surely, 22328652480 is an apocalyptic number.

2328652480 is a gapful number since it is divisible by the number (20) 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 2328652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677643648).

2328652480 is an abundant number, since it is smaller than the sum of its proper divisors (5026634816).

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

2328652480 is a wasteful number, since it uses less digits than its factorization.

2328652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2328652480 is about 48256.1133950922. The cubic root of 2328652480 is about 1325.4648858815.

The spelling of 2328652480 in words is "two billion, three hundred twenty-eight million, six hundred fifty-two thousand, four hundred eighty".