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1038300641 = 7247450847
BaseRepresentation
bin111101111000110…
…011010111100001
32200100202010201022
4331320303113201
54111301110031
6251010215225
734505260400
oct7570632741
92610663638
101038300641
11493103704
1224b884515
1313715a3a1
149bc7b637
156124997b
hex3de335e1

1038300641 has 12 divisors (see below), whose sum is σ = 1233520128. Its totient is φ = 871034472.

The previous prime is 1038300617. The next prime is 1038300649. The reversal of 1038300641 is 1460038301.

It is not a de Polignac number, because 1038300641 - 210 = 1038299617 is a prime.

It is a super-2 number, since 2×10383006412 = 2156136442202021762, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1038300641.

It is not an unprimeable number, because it can be changed into a prime (1038300649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223121 + ... + 227726.

It is an arithmetic number, because the mean of its divisors is an integer number (102793344).

Almost surely, 21038300641 is an apocalyptic number.

It is an amenable number.

1038300641 is a deficient number, since it is larger than the sum of its proper divisors (195219487).

1038300641 is an equidigital number, since it uses as much as digits as its factorization.

1038300641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450908 (or 450901 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1038300641 is about 32222.6727786507. The cubic root of 1038300641 is about 1012.6072691512.

Adding to 1038300641 its reverse (1460038301), we get a palindrome (2498338942).

The spelling of 1038300641 in words is "one billion, thirty-eight million, three hundred thousand, six hundred forty-one".

Divisors: 1 7 47 49 329 2303 450847 3155929 21189809 22091503 148328663 1038300641