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2343402040 = 235789271347
BaseRepresentation
bin1000101110101101…
…0111101000111000
320001022112011021011
42023223113220320
514244402331130
61024311123304
7112033405630
oct21353275070
96038464234
102343402040
11aa2875701
12554973534
132b4660335
141833296c0
15daae652a
hex8bad7a38

2343402040 has 128 divisors (see below), whose sum is σ = 6133708800. Its totient is φ = 789212160.

The previous prime is 2343402037. The next prime is 2343402041. The reversal of 2343402040 is 402043432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343402041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6753147 + ... + 6753493.

It is an arithmetic number, because the mean of its divisors is an integer number (47919600).

Almost surely, 22343402040 is an apocalyptic number.

2343402040 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 2343402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066854400).

2343402040 is an abundant number, since it is smaller than the sum of its proper divisors (3790306760).

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

2343402040 is a wasteful number, since it uses less digits than its factorization.

2343402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2343402040 is about 48408.6979787724. The cubic root of 2343402040 is about 1328.2574726381.

Adding to 2343402040 its reverse (402043432), we get a palindrome (2745445472).

The spelling of 2343402040 in words is "two billion, three hundred forty-three million, four hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 271 280 347 356 445 542 623 694 712 890 1084 1246 1355 1388 1735 1780 1897 2168 2429 2492 2710 2776 3115 3470 3560 3794 4858 4984 5420 6230 6940 7588 9485 9716 10840 12145 12460 13880 15176 18970 19432 24119 24290 24920 30883 37940 48238 48580 61766 75880 94037 96476 97160 120595 123532 154415 168833 188074 192952 216181 241190 247064 308830 337666 376148 432362 470185 482380 617660 658259 675332 752296 844165 864724 940370 964760 1080905 1235320 1316518 1350664 1688330 1729448 1880740 2161810 2633036 3291295 3376660 3761480 4323620 5266072 6582590 6753320 8369293 8647240 13165180 16738586 26330360 33477172 41846465 58585051 66954344 83692930 117170102 167385860 234340204 292925255 334771720 468680408 585850510 1171701020 2343402040