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1304413434 = 232176616449
BaseRepresentation
bin100110110111111…
…1100010011111010
310100220111001211200
41031233330103322
510132412212214
6333234035030
744216221422
oct11557742372
93326431750
101304413434
1160a342135
12304a18a76
1317a321a8c
14c534d482
15797b2d09
hex4dbfc4fa

1304413434 has 48 divisors (see below), whose sum is σ = 2997469800. Its totient is φ = 408545280.

The previous prime is 1304413433. The next prime is 1304413457. The reversal of 1304413434 is 4343144031.

It can be written as a sum of positive squares in 4 ways, for example, as 1243620225 + 60793209 = 35265^2 + 7797^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1304413398 and 1304413407.

It is not an unprimeable number, because it can be changed into a prime (1304413433) 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, 199042 + ... + 205490.

Almost surely, 21304413434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304413434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498734900).

1304413434 is an abundant number, since it is smaller than the sum of its proper divisors (1693056366).

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

1304413434 is a wasteful number, since it uses less digits than its factorization.

1304413434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1304413434 is about 36116.6642147361. The cubic root of 1304413434 is about 1092.6265624958.

Adding to 1304413434 its reverse (4343144031), we get a palindrome (5647557465).

The spelling of 1304413434 in words is "one billion, three hundred four million, four hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 661 1322 1983 3966 5949 6449 11237 11898 12898 19347 22474 33711 38694 58041 67422 101133 109633 116082 202266 219266 328899 657798 986697 1973394 4262789 8525578 12788367 25576734 38365101 72467413 76730202 144934826 217402239 434804478 652206717 1304413434