Search a number
-
+
2303121240 = 23325717371453
BaseRepresentation
bin1000100101000110…
…1101011101011000
312221111201200101200
42021101231131120
514204044334430
61020311514200
7111034131120
oct21121553530
95844650350
102303121240
11a82063092
12543388960
132a91c8a44
1417bc41c80
15d72db460
hex8946d758

2303121240 has 384 divisors, whose sum is σ = 9308856960. Its totient is φ = 481738752.

The previous prime is 2303121229. The next prime is 2303121259. The reversal of 2303121240 is 421213032.

2303121240 is a `hidden beast` number, since 2 + 303 + 121 + 240 = 666.

It is a super-2 number, since 2×23031212402 = 10608734892278275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584354 + ... + 1585806.

It is an arithmetic number, because the mean of its divisors is an integer number (24241815).

Almost surely, 22303121240 is an apocalyptic number.

2303121240 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 2303121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654428480).

2303121240 is an abundant number, since it is smaller than the sum of its proper divisors (7005735720).

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

2303121240 is a wasteful number, since it uses less digits than its factorization.

2303121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2303121240 is about 47990.8453770091. The cubic root of 2303121240 is about 1320.6029614465.

Adding to 2303121240 its reverse (421213032), we get a palindrome (2724334272).

The spelling of 2303121240 in words is "two billion, three hundred three million, one hundred twenty-one thousand, two hundred forty".