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3368073840 = 2435109128749
BaseRepresentation
bin1100100011000000…
…1011101001110000
322200201121212201120
43020300023221300
523344211330330
61314113302240
7146315104155
oct31060135160
98621555646
103368073840
11147920a7aa
1279bb64980
13418a28201
1423d45a22c
1514aa4cc10
hexc8c0ba70

3368073840 has 80 divisors (see below), whose sum is σ = 10536900000. Its totient is φ = 889906176.

The previous prime is 3368073827. The next prime is 3368073889. The reversal of 3368073840 is 483708633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33680738402 = 22687842783384691200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3368073792 and 3368073801.

It is a congruent number.

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, 38215 + ... + 90534.

It is an arithmetic number, because the mean of its divisors is an integer number (131711250).

Almost surely, 23368073840 is an apocalyptic number.

3368073840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3368073840 is an abundant number, since it is smaller than the sum of its proper divisors (7168826160).

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

3368073840 is a wasteful number, since it uses less digits than its factorization.

3368073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128874 (or 128868 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3368073840 is about 58035.1086843128. The cubic root of 3368073840 is about 1498.9731995031.

The spelling of 3368073840 in words is "three billion, three hundred sixty-eight million, seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 128749 257498 386247 514996 643745 772494 1029992 1287490 1544988 1931235 2059984 2574980 3089976 3862470 5149960 6179952 7724940 10299920 14033641 15449880 28067282 30899760 42100923 56134564 70168205 84201846 112269128 140336410 168403692 210504615 224538256 280672820 336807384 421009230 561345640 673614768 842018460 1122691280 1684036920 3368073840