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2340331320 = 2335291674027
BaseRepresentation
bin1000101101111110…
…1001111100111000
320001002202011000210
42023133221330320
514243111100240
61024121231120
7111665326245
oct21337517470
96032664023
102340331320
11aa1068618
125539324a0
132b3b26742
14182b6a5cc
15da6db780
hex8b7e9f38

2340331320 has 128 divisors (see below), whose sum is σ = 7308403200. Its totient is φ = 598811136.

The previous prime is 2340331271. The next prime is 2340331337. The reversal of 2340331320 is 231330432.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 579147 + ... + 583173.

It is an arithmetic number, because the mean of its divisors is an integer number (57096900).

Almost surely, 22340331320 is an apocalyptic number.

2340331320 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 2340331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654201600).

2340331320 is an abundant number, since it is smaller than the sum of its proper divisors (4968071880).

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

2340331320 is a wasteful number, since it uses less digits than its factorization.

2340331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2340331320 is about 48376.9709675999. The cubic root of 2340331320 is about 1327.6770501653.

Adding to 2340331320 its reverse (231330432), we get a palindrome (2571661752).

The spelling of 2340331320 in words is "two billion, three hundred forty million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 167 174 232 290 334 348 435 501 580 668 696 835 870 1002 1160 1336 1670 1740 2004 2505 3340 3480 4008 4027 4843 5010 6680 8054 9686 10020 12081 14529 16108 19372 20040 20135 24162 24215 29058 32216 38744 40270 48324 48430 58116 60405 72645 80540 96648 96860 116232 116783 120810 145290 161080 193720 233566 241620 290580 350349 467132 483240 581160 583915 672509 700698 934264 1167830 1345018 1401396 1751745 2017527 2335660 2690036 2802792 3362545 3503490 4035054 4671320 5380072 6725090 7006980 8070108 10087635 13450180 14013960 16140216 19502761 20175270 26900360 39005522 40350540 58508283 78011044 80701080 97513805 117016566 156022088 195027610 234033132 292541415 390055220 468066264 585082830 780110440 1170165660 2340331320