Search a number
-
+
3344287679064 = 233322279694951
BaseRepresentation
bin110000101010100111000…
…101000100001001011000
3102211201012011021111122000
4300222213011010021120
5414243100121212224
611040202231201000
7463421365146333
oct60524705041130
912751164244560
103344287679064
11107a339233832
1246018b216160
131b3498b08467
14b7c15c4361a
155bed50380c9
hex30aa7144258

3344287679064 has 64 divisors (see below), whose sum is σ = 9290118336000. Its totient is φ = 1114710919200.

The previous prime is 3344287679009. The next prime is 3344287679087. The reversal of 3344287679064 is 4609767824433.

3344287679064 is a `hidden beast` number, since 3 + 3 + 4 + 428 + 7 + 67 + 90 + 64 = 666.

It is a super-2 number, since 2×33442876790642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344287678992 and 3344287679010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4464789 + ... + 5159739.

It is an arithmetic number, because the mean of its divisors is an integer number (145158099000).

Almost surely, 23344287679064 is an apocalyptic number.

It is an amenable number.

3344287679064 is an abundant number, since it is smaller than the sum of its proper divisors (5945830656936).

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

3344287679064 is a wasteful number, since it uses less digits than its factorization.

3344287679064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717245 (or 717235 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3344287679064 in words is "three trillion, three hundred forty-four billion, two hundred eighty-seven million, six hundred seventy-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 22279 44558 66837 89116 133674 178232 200511 267348 401022 534696 601533 694951 802044 1203066 1389902 1604088 2084853 2406132 2779804 4169706 4812264 5559608 6254559 8339412 12509118 16678824 18763677 25018236 37527354 50036472 75054708 150109416 15482813329 30965626658 46448439987 61931253316 92896879974 123862506632 139345319961 185793759948 278690639922 371587519896 418035959883 557381279844 836071919766 1114762559688 1672143839532 3344287679064