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1300032324 = 223236112009
BaseRepresentation
bin100110101111100…
…1110101101000100
310100121020111002100
41031133032231010
510130302013244
6333000112100
744134043463
oct11537165504
93317214070
101300032324
1160791a588
12303465630
131794498c6
14c492c9da
15791e9b69
hex4d7ceb44

1300032324 has 18 divisors (see below), whose sum is σ = 3286192910. Its totient is φ = 433344096.

The previous prime is 1300032323. The next prime is 1300032379. The reversal of 1300032324 is 4232300031.

It can be written as a sum of positive squares in only one way, i.e., 1298160900 + 1871424 = 36030^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 1300032297 and 1300032306.

It is not an unprimeable number, because it can be changed into a prime (1300032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18055969 + ... + 18056040.

Almost surely, 21300032324 is an apocalyptic number.

It is an amenable number.

1300032324 is an abundant number, since it is smaller than the sum of its proper divisors (1986160586).

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

1300032324 is a wasteful number, since it uses less digits than its factorization.

1300032324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36112019 (or 36112014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1300032324 is about 36055.9610050821. The cubic root of 1300032324 is about 1091.4019286742.

Adding to 1300032324 its reverse (4232300031), we get a palindrome (5532332355).

The spelling of 1300032324 in words is "one billion, three hundred million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 36112009 72224018 108336027 144448036 216672054 325008081 433344108 650016162 1300032324