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4340412520 = 2354189131227
BaseRepresentation
bin1000000101011010…
…10111000001101000
3102012111020210122021
410002231113001220
532342121200040
61554410034224
7212362616623
oct40255270150
912174223567
104340412520
111928060194
12a11718974
135422cba42
142d2646dba
151a60b824a
hex102b57068

4340412520 has 128 divisors (see below), whose sum is σ = 10238659200. Its totient is φ = 1654681600.

The previous prime is 4340412509. The next prime is 4340412523. The reversal of 4340412520 is 252140434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4340412523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19120647 + ... + 19120873.

It is an arithmetic number, because the mean of its divisors is an integer number (79989525).

Almost surely, 24340412520 is an apocalyptic number.

4340412520 is a gapful number since it is divisible by the number (40) 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 4340412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119329600).

4340412520 is an abundant number, since it is smaller than the sum of its proper divisors (5898246680).

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

4340412520 is a wasteful number, since it uses less digits than its factorization.

4340412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4340412520 is about 65881.8072004708. The cubic root of 4340412520 is about 1631.2117302473.

Adding to 4340412520 its reverse (252140434), we get a palindrome (4592552954).

The spelling of 4340412520 in words is "four billion, three hundred forty million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 89 131 164 178 205 227 262 328 356 410 445 454 524 655 712 820 890 908 1048 1135 1310 1640 1780 1816 2270 2620 3560 3649 4540 5240 5371 7298 9080 9307 10742 11659 14596 18245 18614 20203 21484 23318 26855 29192 29737 36490 37228 40406 42968 46535 46636 53710 58295 59474 72980 74456 80812 93070 93272 101015 107420 116590 118948 145960 148685 161624 186140 202030 214840 233180 237896 297370 372280 404060 466360 478019 594740 808120 828323 956038 1189480 1219217 1656646 1912076 2390095 2438434 2646593 3313292 3824152 4141615 4780190 4876868 5293186 6096085 6626584 8283230 9560380 9753736 10586372 12192170 13232965 16566460 19120760 21172744 24384340 26465930 33132920 48768680 52931860 105863720 108510313 217020626 434041252 542551565 868082504 1085103130 2170206260 4340412520