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2340310140 = 2232576130449
BaseRepresentation
bin1000101101111110…
…0100110001111100
320001002201001222100
42023133210301330
514243104411030
61024120545100
7111665210430
oct21337446174
96032631870
102340310140
11aa1053713
12553922190
132b3b19bcc
14182b629c0
15da6d5360
hex8b7e4c7c

2340310140 has 144 divisors (see below), whose sum is σ = 8246347200. Its totient is φ = 526141440.

The previous prime is 2340310129. The next prime is 2340310177. The reversal of 2340310140 is 410130432.

2340310140 is a `hidden beast` number, since 2 + 340 + 310 + 14 + 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, 61636 + ... + 92084.

It is an arithmetic number, because the mean of its divisors is an integer number (57266300).

Almost surely, 22340310140 is an apocalyptic number.

2340310140 is a gapful number since it is divisible by the number (20) 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 2340310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123173600).

2340310140 is an abundant number, since it is smaller than the sum of its proper divisors (5906037060).

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

2340310140 is a wasteful number, since it uses less digits than its factorization.

2340310140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30532 (or 30527 counting only the distinct ones).

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

The square root of 2340310140 is about 48376.7520612949. The cubic root of 2340310140 is about 1327.6730449938.

Adding to 2340310140 its reverse (410130432), we get a palindrome (2750440572).

The spelling of 2340310140 in words is "two billion, three hundred forty million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1830 2135 2196 2562 2745 3660 3843 4270 5124 5490 6405 7686 8540 10980 12810 15372 19215 25620 30449 38430 60898 76860 91347 121796 152245 182694 213143 274041 304490 365388 426286 456735 548082 608980 639429 852572 913470 1065715 1096164 1278858 1370205 1826940 1857389 1918287 2131430 2557716 2740410 3197145 3714778 3836574 4262860 5480820 5572167 6394290 7429556 7673148 9286945 9591435 11144334 12788580 13001723 16716501 18573890 19182870 22288668 26003446 27860835 33433002 37147780 38365740 39005169 52006892 55721670 65008615 66866004 78010338 83582505 111443340 117015507 130017230 156020676 167165010 195025845 234031014 260034460 334330020 390051690 468062028 585077535 780103380 1170155070 2340310140