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320341140 = 2232571913381
BaseRepresentation
bin10011000110000…
…000010010010100
3211022210000102200
4103012000102110
51124001404030
651442004500
710636566120
oct2306002224
9738700380
10320341140
11154908049
128b346730
13514a0592
143078a580
151d1cad60
hex13180494

320341140 has 144 divisors (see below), whose sum is σ = 1169051520. Its totient is φ = 69361920.

The previous prime is 320341139. The next prime is 320341157. The reversal of 320341140 is 41143023.

320341140 is a `hidden beast` number, since 320 + 341 + 1 + 4 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17250 + ... + 30630.

Almost surely, 2320341140 is an apocalyptic number.

320341140 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 320341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584525760).

320341140 is an abundant number, since it is smaller than the sum of its proper divisors (848710380).

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

320341140 is a wasteful number, since it uses less digits than its factorization.

320341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13422 (or 13417 counting only the distinct ones).

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

The square root of 320341140 is about 17898.0764329578. The cubic root of 320341140 is about 684.2333511808.

Adding to 320341140 its reverse (41143023), we get a palindrome (361484163).

The spelling of 320341140 in words is "three hundred twenty million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 13381 23940 26762 40143 53524 66905 80286 93667 120429 133810 160572 187334 200715 240858 254239 267620 281001 374668 401430 468335 481716 508478 562002 602145 762717 802860 843003 936670 1016956 1124004 1204290 1271195 1405005 1525434 1686006 1779673 1873340 2288151 2408580 2542390 2810010 3050868 3372012 3559346 3813585 4215015 4576302 5084780 5339019 5620020 7118692 7627170 8430030 8898365 9152604 10678038 11440755 15254340 16017057 16860060 17796730 21356076 22881510 26695095 32034114 35593460 45763020 53390190 64068228 80085285 106780380 160170570 320341140