Search a number
-
+
304013002304 = 26112934134363
BaseRepresentation
bin1000110110010001001…
…01100100011001000000
31002001201012002200000002
410123020211210121000
514440104312033204
6351354525415132
730651503611454
oct4331045443100
91061635080002
10304013002304
11107a27461330
124ab0540a4a8
132288c35359b
1410a000bc664
157d94b5191e
hex46c8964640

304013002304 has 112 divisors (see below), whose sum is σ = 681168381120. Its totient is φ = 133352970240.

The previous prime is 304013002253. The next prime is 304013002369. The reversal of 304013002304 is 403200310403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69677627 + ... + 69681989.

Almost surely, 2304013002304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304013002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340584190560).

304013002304 is an abundant number, since it is smaller than the sum of its proper divisors (377155378816).

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

304013002304 is a wasteful number, since it uses less digits than its factorization.

304013002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 304013002304 its reverse (403200310403), we get a palindrome (707213312707).

The spelling of 304013002304 in words is "three hundred four billion, thirteen million, two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 3413 4363 5104 6826 8726 10208 13652 17452 20416 27304 34904 37543 47993 54608 69808 75086 95986 98977 109216 126527 139616 150172 191972 197954 218432 253054 279232 300344 383944 395908 506108 600688 767888 791816 1012216 1088747 1201376 1391797 1535776 1583632 2024432 2177494 2402752 2783594 3071552 3167264 4048864 4354988 5567188 6334528 8097728 8709976 11134376 14890919 17419952 22268752 29781838 34839904 44537504 59563676 69679808 89075008 119127352 163800109 238254704 327600218 431836651 476509408 655200436 863673302 953018816 1310400872 1727346604 2620801744 3454693208 4750203161 5241603488 6909386416 9500406322 10483206976 13818772832 19000812644 27637545664 38001625288 76003250576 152006501152 304013002304