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1828344001 = 11215110281
BaseRepresentation
bin110110011111010…
…0101000011000001
311201102100111110111
41230332211003001
512221024002001
6501231431321
763210444661
oct15476450301
94642314414
101828344001
11859063a00
12430385541
13231a35373
14134b741a1
15aa7a6851
hex6cfa50c1

1828344001 has 6 divisors (see below), whose sum is σ = 2009667506. Its totient is φ = 1662130800.

The previous prime is 1828343987. The next prime is 1828344013. The reversal of 1828344001 is 1004438281.

It can be written as a sum of positive squares in only one way, i.e., 1802851600 + 25492401 = 42460^2 + 5049^2 .

It is not a de Polignac number, because 1828344001 - 25 = 1828343969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1828344031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7555020 + ... + 7555261.

Almost surely, 21828344001 is an apocalyptic number.

1828344001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1828344001 is a deficient number, since it is larger than the sum of its proper divisors (181323505).

1828344001 is a wasteful number, since it uses less digits than its factorization.

1828344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15110303 (or 15110292 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1828344001 is about 42759.1393856331. The cubic root of 1828344001 is about 1222.7921360266.

The spelling of 1828344001 in words is "one billion, eight hundred twenty-eight million, three hundred forty-four thousand, one".

Divisors: 1 11 121 15110281 166213091 1828344001