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1308240024 = 2337213831031
BaseRepresentation
bin100110111111010…
…0010100010011000
310101011200110221020
41031332202202120
510134402140044
6333452042440
744263566600
oct11576424230
93334613836
101308240024
11611516103
12306163420
1317b061730
14c5a67c00
1579cbba19
hex4dfa2898

1308240024 has 192 divisors, whose sum is σ = 4150621440. Its totient is φ = 340542720.

The previous prime is 1308240001. The next prime is 1308240053. The reversal of 1308240024 is 4200428031.

It is a super-2 number, since 2×13082400242 = 3422983920791041152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1308239976 and 1308240003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268389 + ... + 1269419.

It is an arithmetic number, because the mean of its divisors is an integer number (21617820).

Almost surely, 21308240024 is an apocalyptic number.

1308240024 is a gapful number since it is divisible by the number (14) 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 1308240024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075310720).

1308240024 is an abundant number, since it is smaller than the sum of its proper divisors (2842381416).

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

1308240024 is a wasteful number, since it uses less digits than its factorization.

1308240024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1308240024 is about 36169.6008272140. The cubic root of 1308240024 is about 1093.6939521146.

Adding to 1308240024 its reverse (4200428031), we get a palindrome (5508668055).

The spelling of 1308240024 in words is "one billion, three hundred eight million, two hundred forty thousand, twenty-four".