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3380076 = 2233717263
BaseRepresentation
bin1100111001001101101100
320100201121000
430321031230
51331130301
6200240300
740505310
oct14711554
96321530
103380076
1119a9557
121170090
1391465b
1463db40
1546b786
hex33936c

3380076 has 96 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 905472.

The previous prime is 3380033. The next prime is 3380089. The reversal of 3380076 is 6700833.

It is a happy number.

It is a super-2 number, since 2×33800762 = 22849827531552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12721 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

Almost surely, 23380076 is an apocalyptic number.

3380076 is a gapful number since it is divisible by the number (36) 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 3380076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3380076 is an abundant number, since it is smaller than the sum of its proper divisors (7264404).

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

3380076 is a wasteful number, since it uses less digits than its factorization.

3380076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

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

The square root of 3380076 is about 1838.4983002440. The cubic root of 3380076 is about 150.0751623312.

The spelling of 3380076 in words is "three million, three hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 263 306 357 378 459 476 526 612 714 756 789 918 1052 1071 1428 1578 1836 1841 2142 2367 3156 3213 3682 4284 4471 4734 5523 6426 7101 7364 8942 9468 11046 12852 13413 14202 16569 17884 22092 26826 28404 31297 33138 40239 49707 53652 62594 66276 80478 93891 99414 120717 125188 160956 187782 198828 241434 281673 375564 482868 563346 845019 1126692 1690038 3380076