Search a number
-
+
3344992320 = 26358394153
BaseRepresentation
bin1100011101100000…
…1000100001000000
322122010012012211110
43013120020201000
523322304223240
61311530443320
7145614652125
oct30730104100
98563165743
103344992320
11146718526a
12794293540
134140062c7
1423a36c74c
151489ddc80
hexc7608840

3344992320 has 112 divisors (see below), whose sum is σ = 10635569280. Its totient is φ = 890720256.

The previous prime is 3344992319. The next prime is 3344992331. The reversal of 3344992320 is 232994433.

It is a super-2 number, since 2×33449923202 = 22377947241717964800, which contains 22 as substring.

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, 803364 + ... + 807516.

It is an arithmetic number, because the mean of its divisors is an integer number (94960440).

Almost surely, 23344992320 is an apocalyptic number.

3344992320 is a gapful number since it is divisible by the number (30) 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 3344992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317784640).

3344992320 is an abundant number, since it is smaller than the sum of its proper divisors (7290576960).

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

3344992320 is a wasteful number, since it uses less digits than its factorization.

3344992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3344992320 is about 57835.9085689851. The cubic root of 3344992320 is about 1495.5411768413.

The spelling of 3344992320 in words is "three billion, three hundred forty-four million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 839 960 1678 2517 3356 4153 4195 5034 6712 8306 8390 10068 12459 12585 13424 16612 16780 20136 20765 24918 25170 26848 33224 33560 40272 41530 49836 50340 53696 62295 66448 67120 80544 83060 99672 100680 124590 132896 134240 161088 166120 199344 201360 249180 265792 268480 332240 398688 402720 498360 664480 797376 805440 996720 1328960 1993440 3484367 3986880 6968734 10453101 13937468 17421835 20906202 27874936 34843670 41812404 52265505 55749872 69687340 83624808 104531010 111499744 139374680 167249616 209062020 222999488 278749360 334499232 418124040 557498720 668998464 836248080 1114997440 1672496160 3344992320