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1304021340 = 2232523378513
BaseRepresentation
bin100110110111001…
…1100100101011100
310100212202010222200
41031232130211130
510132312140330
6333221411500
744212666326
oct11556344534
93325663880
101304021340
1160a0a4596
12304869b90
1317a21547b
14c528a616
1579736a60
hex4db9c95c

1304021340 has 144 divisors (see below), whose sum is σ = 4239563328. Its totient is φ = 323592192.

The previous prime is 1304021333. The next prime is 1304021351. The reversal of 1304021340 is 431204031.

1304021340 is a `hidden beast` number, since 1 + 304 + 0 + 21 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148924 + ... + 157436.

It is an arithmetic number, because the mean of its divisors is an integer number (29441412).

Almost surely, 21304021340 is an apocalyptic number.

1304021340 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 1304021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119781664).

1304021340 is an abundant number, since it is smaller than the sum of its proper divisors (2935541988).

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

1304021340 is a wasteful number, since it uses less digits than its factorization.

1304021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1304021340 is about 36111.2356476485. The cubic root of 1304021340 is about 1092.5170738831.

Adding to 1304021340 its reverse (431204031), we get a palindrome (1735225371).

The spelling of 1304021340 in words is "one billion, three hundred four million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4140 4255 5106 6660 7659 8510 8513 10212 12765 15318 17020 17026 25530 25539 30636 34052 38295 42565 51060 51078 76590 76617 85130 102156 127695 153180 153234 170260 195799 255390 306468 314981 383085 391598 510780 587397 629962 766170 783196 944943 978995 1174794 1259924 1532340 1574905 1762191 1889886 1957990 2349588 2834829 2936985 3149810 3524382 3779772 3915980 4724715 5669658 5873970 6299620 7048764 7244563 8810955 9449430 11339316 11747940 14174145 14489126 17621910 18898860 21733689 28348290 28978252 35243820 36222815 43467378 56696580 65201067 72445630 86934756 108668445 130402134 144891260 217336890 260804268 326005335 434673780 652010670 1304021340