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1304340240 = 243574716519
BaseRepresentation
bin100110110111110…
…1010011100010000
310100220100100102210
41031233222130100
510132402341430
6333232312120
744215465140
oct11557523420
93326310383
101304340240
1160a2a2145
123049a2640
1317a2c7678
14c5330920
157979b2b0
hex4dbea710

1304340240 has 160 divisors (see below), whose sum is σ = 4719697920. Its totient is φ = 291773952.

The previous prime is 1304340239. The next prime is 1304340251. The reversal of 1304340240 is 420434031.

1304340240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 70701 + ... + 87219.

It is an arithmetic number, because the mean of its divisors is an integer number (29498112).

Almost surely, 21304340240 is an apocalyptic number.

1304340240 is a gapful number since it is divisible by the number (10) 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 1304340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359848960).

1304340240 is an abundant number, since it is smaller than the sum of its proper divisors (3415357680).

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

1304340240 is a wasteful number, since it uses less digits than its factorization.

1304340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1304340240 is about 36115.6509009598. The cubic root of 1304340240 is about 1092.6061254160.

Adding to 1304340240 its reverse (420434031), we get a palindrome (1724774271).

The spelling of 1304340240 in words is "one billion, three hundred four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4935 5264 5640 6580 7896 9870 11280 13160 15792 16519 19740 26320 33038 39480 49557 66076 78960 82595 99114 115633 132152 165190 198228 231266 247785 264304 330380 346899 396456 462532 495570 578165 660760 693798 776393 792912 925064 991140 1156330 1321520 1387596 1552786 1734495 1850128 1982280 2312660 2329179 2775192 3105572 3468990 3881965 3964560 4625320 4658358 5434751 5550384 6211144 6937980 7763930 9250640 9316716 10869502 11645895 12422288 13875960 15527860 16304253 18633432 21739004 23291790 27173755 27751920 31055720 32608506 37266864 43478008 46583580 54347510 62111440 65217012 81521265 86956016 93167160 108695020 130434024 163042530 186334320 217390040 260868048 326085060 434780080 652170120 1304340240