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3342255168 = 263716714891
BaseRepresentation
bin1100011100110110…
…1100010001000000
322121221001011011110
43013031230101000
523321104131133
61311352043320
7145552462110
oct30715542100
98557034143
103342255168
11146568585a
12793393540
134135884a5
14239c59040
1514864cc63
hexc736c440

3342255168 has 112 divisors (see below), whose sum is σ = 10167542784. Its totient is φ = 949148160.

The previous prime is 3342255149. The next prime is 3342255221. The reversal of 3342255168 is 8615522433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33422551682 = 22341339216045416448, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 217003 + ... + 231893.

It is an arithmetic number, because the mean of its divisors is an integer number (90781632).

Almost surely, 23342255168 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 3342255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083771392).

3342255168 is an abundant number, since it is smaller than the sum of its proper divisors (6825287616).

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

3342255168 is a wasteful number, since it uses less digits than its factorization.

3342255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15080 (or 15070 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 3342255168 is about 57812.2406415804. The cubic root of 3342255168 is about 1495.1331399716.

The spelling of 3342255168 in words is "three billion, three hundred forty-two million, two hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 167 168 192 224 334 336 448 501 668 672 1002 1169 1336 1344 2004 2338 2672 3507 4008 4676 5344 7014 8016 9352 10688 14028 14891 16032 18704 28056 29782 32064 37408 44673 56112 59564 74816 89346 104237 112224 119128 178692 208474 224448 238256 312711 357384 416948 476512 625422 714768 833896 953024 1250844 1429536 1667792 2486797 2501688 2859072 3335584 4973594 5003376 6671168 7460391 9947188 10006752 14920782 17407579 19894376 20013504 29841564 34815158 39788752 52222737 59683128 69630316 79577504 104445474 119366256 139260632 159155008 208890948 238732512 278521264 417781896 477465024 557042528 835563792 1114085056 1671127584 3342255168