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4012340420 = 2251125172661
BaseRepresentation
bin1110111100100111…
…0111010011000100
3101100121221000022202
43233021313103010
531204124343140
61502050214032
7201300221324
oct35711672304
911317830282
104012340420
111779952820
1293b884318
134bc35263a
142a0c47284
151873b1915
hexef2774c4

4012340420 has 48 divisors (see below), whose sum is σ = 9228655296. Its totient is φ = 1453200000.

The previous prime is 4012340419. The next prime is 4012340429. The reversal of 4012340420 is 240432104.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4012340392 and 4012340401.

It is not an unprimeable number, because it can be changed into a prime (4012340429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18890 + ... + 91550.

It is an arithmetic number, because the mean of its divisors is an integer number (192263652).

Almost surely, 24012340420 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 4012340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614327648).

4012340420 is an abundant number, since it is smaller than the sum of its proper divisors (5216314876).

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

4012340420 is a wasteful number, since it uses less digits than its factorization.

4012340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72932 (or 72930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4012340420 is about 63343.0376600302. The cubic root of 4012340420 is about 1589.0318090713.

Adding to 4012340420 its reverse (240432104), we get a palindrome (4252772524).

The spelling of 4012340420 in words is "four billion, twelve million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 5020 5522 11044 13805 27610 55220 72661 145322 290644 363305 726610 799271 1453220 1598542 3197084 3996355 7992710 15985420 18237911 36475822 72951644 91189555 182379110 200617021 364758220 401234042 802468084 1003085105 2006170210 4012340420