Search a number
-
+
4661336344 = 2372910512731
BaseRepresentation
bin1000101011101011…
…00101100100011000
3110000212010102100211
410111311211210120
534021300230334
62050312340504
7223340463610
oct42565454430
913025112324
104661336344
111a82225a95
12aa10a4734
135939445b2
14323105a40
151c435ba64
hex115d65918

4661336344 has 64 divisors (see below), whose sum is σ = 10346630400. Its totient is φ = 1926288000.

The previous prime is 4661336341. The next prime is 4661336387. The reversal of 4661336344 is 4436331664.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4661336297 and 4661336306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661336341) 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, 1705459 + ... + 1708189.

It is an arithmetic number, because the mean of its divisors is an integer number (161666100).

Almost surely, 24661336344 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 4661336344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173315200).

4661336344 is an abundant number, since it is smaller than the sum of its proper divisors (5685294056).

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

4661336344 is a wasteful number, since it uses less digits than its factorization.

4661336344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3820 counting only the distinct ones).

The product of its digits is 373248, while the sum is 40.

The square root of 4661336344 is about 68273.9799923807. The cubic root of 4661336344 is about 1670.4628193613.

The spelling of 4661336344 in words is "four billion, six hundred sixty-one million, three hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1051 1624 2102 2731 4204 5462 7357 8408 10924 14714 19117 21848 29428 30479 38234 58856 60958 76468 79199 121916 152936 158398 213353 243832 316796 426706 554393 633592 853412 1108786 1706824 2217572 2870281 4435144 5740562 11481124 20091967 22962248 40183934 80367868 83238149 160735736 166476298 332952596 582667043 665905192 1165334086 2330668172 4661336344