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1200314034 = 232732293989
BaseRepresentation
bin100011110001011…
…0101011010110010
310002122121021022100
41013202311122302
54424240022114
6315034521230
741513333553
oct10742653262
93078537270
101200314034
11566600777
12295b96216
131618a43ba
14b55b232a
157059d909
hex478b56b2

1200314034 has 48 divisors (see below), whose sum is σ = 2648482200. Its totient is φ = 392802048.

The previous prime is 1200314033. The next prime is 1200314039. The reversal of 1200314034 is 4304130021.

It can be written as a sum of positive squares in 4 ways, for example, as 1185080625 + 15233409 = 34425^2 + 3903^2 .

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 = 1200313998 and 1200314016.

It is not an unprimeable number, because it can be changed into a prime (1200314033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298912 + ... + 302900.

Almost surely, 21200314034 is an apocalyptic number.

1200314034 is an abundant number, since it is smaller than the sum of its proper divisors (1448168166).

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

1200314034 is a wasteful number, since it uses less digits than its factorization.

1200314034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4296 counting only the distinct ones).

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

The square root of 1200314034 is about 34645.5485452316. The cubic root of 1200314034 is about 1062.7512585757.

Adding to 1200314034 its reverse (4304130021), we get a palindrome (5504444055).

The spelling of 1200314034 in words is "one billion, two hundred million, three hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 73 146 219 229 438 458 657 687 1314 1374 2061 3989 4122 7978 11967 16717 23934 33434 35901 50151 71802 100302 150453 291197 300906 582394 873591 913481 1747182 1826962 2620773 2740443 5241546 5480886 8221329 16442658 66684113 133368226 200052339 400104678 600157017 1200314034