Search a number
-
+
304020031020 = 22358364195239
BaseRepresentation
bin1000110110010010000…
…00011000011000101100
31002001201200022202120220
410123021000120120230
514440113111443040
6351355340211340
730651620424366
oct4331100303054
91061650282526
10304020031020
11107a30422092
124ab07839b50
13228909448a4
1410a00dcbd36
157d9558e2d0
hex46c901862c

304020031020 has 96 divisors (see below), whose sum is σ = 862865256960. Its totient is φ = 79969443840.

The previous prime is 304020031009. The next prime is 304020031027. The reversal of 304020031020 is 20130020403.

It is a super-3 number, since 3×3040200310203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (304020031027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144561 + ... + 3239799.

It is an arithmetic number, because the mean of its divisors is an integer number (8988179760).

Almost surely, 2304020031020 is an apocalyptic number.

304020031020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304020031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431432628480).

304020031020 is an abundant number, since it is smaller than the sum of its proper divisors (558845225940).

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

304020031020 is a wasteful number, since it uses less digits than its factorization.

304020031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95975 (or 95973 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 304020031020 its reverse (20130020403), we get a palindrome (324150051423).

The spelling of 304020031020 in words is "three hundred four billion, twenty million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 641 830 996 1245 1282 1660 1923 2490 2564 3205 3846 4980 6410 7692 9615 12820 19230 38460 53203 95239 106406 159609 190478 212812 266015 285717 319218 380956 476195 532030 571434 638436 798045 952390 1064060 1142868 1428585 1596090 1904780 2857170 3192180 5714340 7904837 15809674 23714511 31619348 39524185 47429022 61048199 79048370 94858044 118572555 122096398 158096740 183144597 237145110 244192796 305240995 366289194 474290220 610481990 732578388 915722985 1220963980 1831445970 3662891940 5067000517 10134001034 15201001551 20268002068 25335002585 30402003102 50670005170 60804006204 76005007755 101340010340 152010015510 304020031020