Search a number
-
+
1204304130 = 232571229823
BaseRepresentation
bin100011111001000…
…0011100100000010
310002221002222200200
41013302003210002
54431300213010
6315300230030
741562262521
oct10762034402
93087088620
101204304130
11568886577
1229739b316
131626705c3
14b5d304b8
1570adacc0
hex47c83902

1204304130 has 96 divisors (see below), whose sum is σ = 3193032960. Its totient is φ = 314858880.

The previous prime is 1204304093. The next prime is 1204304137. The reversal of 1204304130 is 314034021.

It is a super-3 number, since 3×12043041303 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1204304137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462899 + ... + 1463721.

It is an arithmetic number, because the mean of its divisors is an integer number (33260760).

Almost surely, 21204304130 is an apocalyptic number.

1204304130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204304130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596516480).

1204304130 is an abundant number, since it is smaller than the sum of its proper divisors (1988728830).

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

1204304130 is a wasteful number, since it uses less digits than its factorization.

1204304130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

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

The square root of 1204304130 is about 34703.0853095226. The cubic root of 1204304130 is about 1063.9275589260.

Adding to 1204304130 its reverse (314034021), we get a palindrome (1518338151).

The spelling of 1204304130 in words is "one billion, two hundred four million, three hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 229 355 426 458 639 687 710 823 1065 1145 1278 1374 1646 2061 2130 2290 2469 3195 3435 4115 4122 4938 6390 6870 7407 8230 10305 12345 14814 16259 20610 24690 32518 37035 48777 58433 74070 81295 97554 116866 146331 162590 175299 188467 243885 292165 292662 350598 376934 487770 525897 565401 584330 731655 876495 942335 1051794 1130802 1463310 1696203 1752990 1884670 2629485 2827005 3392406 5258970 5654010 8481015 13381157 16962030 26762314 40143471 66905785 80286942 120430413 133811570 200717355 240860826 401434710 602152065 1204304130