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4341344140 = 2257490407
BaseRepresentation
bin1000000101100001…
…11010011110001100
3102012120000010120201
410002300322132030
532342341003030
61554442023244
7212403550000
oct40260723614
912176003521
104341344140
111928637121
12a11aa7b24
13542566ab3
142d280a700
151a61ee2ca
hex102c3a78c

4341344140 has 60 divisors (see below), whose sum is σ = 10635777936. Its totient is φ = 1488444384.

The previous prime is 4341344131. The next prime is 4341344141. The reversal of 4341344140 is 414431434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4341344099 and 4341344108.

It is not an unprimeable number, because it can be changed into a prime (4341344141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2817 + ... + 93223.

Almost surely, 24341344140 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 4341344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317888968).

4341344140 is an abundant number, since it is smaller than the sum of its proper divisors (6294433796).

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

4341344140 is an equidigital number, since it uses as much as digits as its factorization.

4341344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90444 (or 90421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4341344140 is about 65888.8772100421. The cubic root of 4341344140 is about 1631.3284288906.

Adding to 4341344140 its reverse (414431434), we get a palindrome (4755775574).

The spelling of 4341344140 in words is "four billion, three hundred forty-one million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020 90407 180814 361628 452035 632849 904070 1265698 1808140 2531396 3164245 4429943 6328490 8859886 12656980 17719772 22149715 31009601 44299430 62019202 88598860 124038404 155048005 217067207 310096010 434134414 620192020 868268828 1085336035 2170672070 4341344140