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3338213376 = 21132323623
BaseRepresentation
bin1100011011111001…
…0001100000000000
322121122102210212110
43012332101200000
523314040312001
61311125255320
7145503226341
oct30676214000
98548383773
103338213376
111463375133
12791b64540
134127a18b4
142394c60c8
151481003d6
hexc6f91800

3338213376 has 96 divisors (see below), whose sum is σ = 9287066880. Its totient is φ = 1064312832.

The previous prime is 3338213327. The next prime is 3338213383. The reversal of 3338213376 is 6733128333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33382133762 = 22287337087410634752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129501 + ... + 153123.

It is an arithmetic number, because the mean of its divisors is an integer number (96740280).

Almost surely, 23338213376 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 3338213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643533440).

3338213376 is an abundant number, since it is smaller than the sum of its proper divisors (5948853504).

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

3338213376 is a wasteful number, since it uses less digits than its factorization.

3338213376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23671 (or 23651 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The square root of 3338213376 is about 57777.2738713069. The cubic root of 3338213376 is about 1494.5302082743.

The spelling of 3338213376 in words is "three billion, three hundred thirty-eight million, two hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 17664 23552 23623 35328 47104 47246 70656 70869 94492 141312 141738 188984 283476 377968 543329 566952 755936 1086658 1133904 1511872 1629987 2173316 2267808 3023744 3259974 4346632 4535616 6047488 6519948 8693264 9071232 12094976 13039896 17386528 18142464 24189952 26079792 34773056 36284928 48379904 52159584 69546112 72569856 104319168 139092224 145139712 208638336 278184448 417276672 556368896 834553344 1112737792 1669106688 3338213376