Search a number
-
+
46366344 = 2335172361
BaseRepresentation
bin1011000011011…
…1111010001000
310020020122200000
42300313322020
543332210334
64333443000
71102051563
oct260677210
9106218600
1046366344
11241997a2
1213640460
1397b550b
14622d4da
15410d299
hex2c37e88

46366344 has 192 divisors, whose sum is σ = 146240640. Its totient is φ = 13685760.

The previous prime is 46366343. The next prime is 46366349. The reversal of 46366344 is 44366364.

46366344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46366299 and 46366308.

It is not an unprimeable number, because it can be changed into a prime (46366343) 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 47 ways as a sum of consecutive naturals, for example, 760074 + ... + 760134.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 246366344 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 46366344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

46366344 is an abundant number, since it is smaller than the sum of its proper divisors (99874296).

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

46366344 is a wasteful number, since it uses less digits than its factorization.

46366344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 46366344 is about 6809.2836627651. The cubic root of 46366344 is about 359.2534529242.

The spelling of 46366344 in words is "forty-six million, three hundred sixty-six thousand, three hundred forty-four".