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304013412240 = 24354876593947
BaseRepresentation
bin1000110110010001001…
…11001000011110010000
31002001201012212111022220
410123020213020132100
514440104413142430
6351354542301040
730651510236556
oct4331047103620
91061635774286
10304013412240
11107a2771131a
124ab05587780
132288c468055
1410a00187bd6
157d94bd3110
hex46c89c8790

304013412240 has 160 divisors (see below), whose sum is σ = 946049448960. Its totient is φ = 80760540672.

The previous prime is 304013412221. The next prime is 304013412251. The reversal of 304013412240 is 42214310403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 304013412240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77021947 + ... + 77025893.

It is an arithmetic number, because the mean of its divisors is an integer number (5912809056).

Almost surely, 2304013412240 is an apocalyptic number.

304013412240 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 304013412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473024724480).

304013412240 is an abundant number, since it is smaller than the sum of its proper divisors (642036036720).

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

304013412240 is a wasteful number, since it uses less digits than its factorization.

304013412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 304013412240 its reverse (42214310403), we get a palindrome (346227722643).

The spelling of 304013412240 in words is "three hundred four billion, thirteen million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 487 659 974 1318 1461 1948 1977 2435 2636 2922 3295 3896 3947 3954 4870 5272 5844 6590 7305 7792 7894 7908 9740 9885 10544 11688 11841 13180 14610 15788 15816 19480 19735 19770 23376 23682 26360 29220 31576 31632 38960 39470 39540 47364 52720 58440 59205 63152 78940 79080 94728 116880 118410 157880 158160 189456 236820 315760 320933 473640 641866 947280 962799 1283732 1604665 1922189 1925598 2567464 2601073 3209330 3844378 3851196 4813995 5134928 5202146 5766567 6418660 7688756 7702392 7803219 9610945 9627990 10404292 11533134 12837320 13005365 15377512 15404784 15606438 19221890 19255980 20808584 23066268 25674640 26010730 28832835 30755024 31212876 38443780 38511960 39016095 41617168 46132536 52021460 57665670 62425752 76887560 77023920 78032190 92265072 104042920 115331340 124851504 153775120 156064380 208085840 230662680 312128760 461325360 624257520 1266722551 2533445102 3800167653 5066890204 6333612755 7600335306 10133780408 12667225510 15200670612 19000838265 20267560816 25334451020 30401341224 38001676530 50668902040 60802682448 76003353060 101337804080 152006706120 304013412240