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2372141340 = 22325234211361
BaseRepresentation
bin1000110101100100…
…0000000100011100
320010022121021011200
42031121000010130
514324232010330
61031215115500
7112532603652
oct21531000434
96108537150
102372141340
111008014998
12562512b90
132ba5b353a
1418708add2
15dd3c1a60
hex8d64011c

2372141340 has 144 divisors (see below), whose sum is σ = 7531707456. Its totient is φ = 603187200.

The previous prime is 2372141339. The next prime is 2372141341. The reversal of 2372141340 is 431412732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2372141339) and next prime (2372141341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372141341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742260 + ... + 1743620.

It is an arithmetic number, because the mean of its divisors is an integer number (52303524).

Almost surely, 22372141340 is an apocalyptic number.

2372141340 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 2372141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765853728).

2372141340 is an abundant number, since it is smaller than the sum of its proper divisors (5159566116).

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

2372141340 is a wasteful number, since it uses less digits than its factorization.

2372141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2372141340 is about 48704.6336604640. The cubic root of 2372141340 is about 1333.6653074769.

The spelling of 2372141340 in words is "two billion, three hundred seventy-two million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 421 460 690 828 842 1035 1263 1361 1380 1684 2070 2105 2526 2722 3789 4083 4140 4210 5052 5444 6315 6805 7578 8166 8420 9683 12249 12630 13610 15156 16332 18945 19366 20415 24498 25260 27220 29049 31303 37890 38732 40830 48415 48996 58098 61245 62606 75780 81660 87147 93909 96830 116196 122490 125212 145245 156515 174294 187818 193660 244980 281727 290490 313030 348588 375636 435735 469545 563454 572981 580980 626060 871470 939090 1126908 1145962 1408635 1718943 1742940 1878180 2291924 2817270 2864905 3437886 5156829 5634540 5729810 6875772 8594715 10313658 11459620 13178563 17189430 20627316 25784145 26357126 34378860 39535689 51568290 52714252 65892815 79071378 103136580 118607067 131785630 158142756 197678445 237214134 263571260 395356890 474428268 593035335 790713780 1186070670 2372141340