Search a number
-
+
4346043240 = 2335731129331
BaseRepresentation
bin1000000110000101…
…10101101101101000
3102012212211212112110
410003002311231220
532400041340430
61555130442320
7212461521000
oct40302655550
912185755473
104346043240
111930256680
12a135933a0
13543520926
142d32b1000
151a682b7b0
hex1030b5b68

4346043240 has 512 divisors, whose sum is σ = 17210880000. Its totient is φ = 869299200.

The previous prime is 4346043179. The next prime is 4346043257. The reversal of 4346043240 is 423406434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4346043198 and 4346043207.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13129875 + ... + 13130205.

It is an arithmetic number, because the mean of its divisors is an integer number (33615000).

Almost surely, 24346043240 is an apocalyptic number.

4346043240 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 4346043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605440000).

4346043240 is an abundant number, since it is smaller than the sum of its proper divisors (12864836760).

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

4346043240 is a wasteful number, since it uses less digits than its factorization.

4346043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4346043240 is about 65924.5268469938. The cubic root of 4346043240 is about 1631.9168035972.

Adding to 4346043240 its reverse (423406434), we get a palindrome (4769449674).

The spelling of 4346043240 in words is "four billion, three hundred forty-six million, forty-three thousand, two hundred forty".