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3378060 = 2232572383
BaseRepresentation
bin1100111000101110001100
320100121211100
430320232030
51331044220
6200223100
740466400
oct14705614
96317740
103378060
1119a7a94
12116aa90
1391376a
1463d100
1546ad90
hex338b8c

3378060 has 108 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 770112.

The previous prime is 3378059. The next prime is 3378071. The reversal of 3378060 is 608733.

It is a happy number.

3378060 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33780602 = 22822578727200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8629 + ... + 9011.

It is an arithmetic number, because the mean of its divisors is an integer number (110656).

Almost surely, 23378060 is an apocalyptic number.

3378060 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 3378060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3378060 is an abundant number, since it is smaller than the sum of its proper divisors (8572788).

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

3378060 is a wasteful number, since it uses less digits than its factorization.

3378060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3378060 is about 1837.9499449114. The cubic root of 3378060 is about 150.0453196395.

The spelling of 3378060 in words is "three million, three hundred seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 383 420 441 490 588 630 735 766 882 980 1149 1260 1470 1532 1764 1915 2205 2298 2681 2940 3447 3830 4410 4596 5362 5745 6894 7660 8043 8820 10724 11490 13405 13788 16086 17235 18767 22980 24129 26810 32172 34470 37534 40215 48258 53620 56301 68940 75068 80430 93835 96516 112602 120645 160860 168903 187670 225204 241290 281505 337806 375340 482580 563010 675612 844515 1126020 1689030 3378060