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6304744420 = 22513229131491
BaseRepresentation
bin1011101111100101…
…01100001111100100
3121021101111012102121
411313302230033210
5100403003310140
62521340315324
7312144305032
oct56762541744
917241435377
106304744420
112745955887
12127b542b44
13796268200
1443b499552
1526d78264a
hex177cac3e4

6304744420 has 144 divisors (see below), whose sum is σ = 14974787520. Its totient is φ = 2225932800.

The previous prime is 6304744417. The next prime is 6304744451. The reversal of 6304744420 is 244474036.

It is a super-2 number, since 2×63047444202 = 79499604403042272800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12840375 + ... + 12840865.

It is an arithmetic number, because the mean of its divisors is an integer number (103991580).

Almost surely, 26304744420 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 6304744420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487393760).

6304744420 is an abundant number, since it is smaller than the sum of its proper divisors (8670043100).

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

6304744420 is a wasteful number, since it uses less digits than its factorization.

6304744420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The square root of 6304744420 is about 79402.4207439547. The cubic root of 6304744420 is about 1847.3782605305.

The spelling of 6304744420 in words is "six billion, three hundred four million, seven hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 131 145 169 260 262 290 338 377 491 524 580 655 676 754 845 982 1310 1508 1690 1703 1885 1964 2455 2620 3380 3406 3770 3799 4901 4910 6383 6812 7540 7598 8515 9802 9820 12766 14239 15196 17030 18995 19604 22139 24505 25532 28478 31915 34060 37990 44278 49010 49387 56956 63830 64321 71195 75980 82979 88556 98020 98774 110695 127660 128642 142390 165958 185107 197548 221390 246935 257284 284780 321605 331916 370214 414895 442780 493870 642031 643210 740428 829790 836173 925535 987740 1284062 1286420 1659580 1672346 1851070 1865309 2406391 2568124 3210155 3344692 3702140 3730618 4180865 4812782 6420310 7461236 8361730 9326545 9625564 10870249 12031955 12840620 16723460 18653090 21740498 24063910 24249017 37306180 43480996 48127820 48498034 54351245 96996068 108702490 121245085 217404980 242490170 315237221 484980340 630474442 1260948884 1576186105 3152372210 6304744420