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412232340 = 2235131493547
BaseRepresentation
bin11000100100100…
…010101010010100
31001201200120110110
4120210202222110
51321012413330
6104523323020
713133626362
oct3044425224
91051616413
10412232340
111a1770293
12b6080470
1367535280
143ca6a632
15262ccdb0
hex18922a94

412232340 has 96 divisors (see below), whose sum is σ = 1251734400. Its totient is φ = 100763136.

The previous prime is 412232333. The next prime is 412232423. The reversal of 412232340 is 43232214.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 114447 + ... + 117993.

It is an arithmetic number, because the mean of its divisors is an integer number (13038900).

Almost surely, 2412232340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625867200).

412232340 is an abundant number, since it is smaller than the sum of its proper divisors (839502060).

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

412232340 is a wasteful number, since it uses less digits than its factorization.

412232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 412232340 is about 20303.5056086381. The cubic root of 412232340 is about 744.2417340866.

Adding to 412232340 its reverse (43232214), we get a palindrome (455464554).

The spelling of 412232340 in words is "four hundred twelve million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 149 156 195 260 298 390 447 596 745 780 894 1490 1788 1937 2235 2980 3547 3874 4470 5811 7094 7748 8940 9685 10641 11622 14188 17735 19370 21282 23244 29055 35470 38740 42564 46111 53205 58110 70940 92222 106410 116220 138333 184444 212820 230555 276666 461110 528503 553332 691665 922220 1057006 1383330 1585509 2114012 2642515 2766660 3171018 5285030 6342036 6870539 7927545 10570060 13741078 15855090 20611617 27482156 31710180 34352695 41223234 68705390 82446468 103058085 137410780 206116170 412232340