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3378768 = 243431637
BaseRepresentation
bin1100111000111001010000
320100122210120
430320321100
51331110033
6200230240
740501431
oct14707120
96318716
103378768
1119a8578
12116b380
13913b93
1463d488
1546b1b3
hex338e50

3378768 has 40 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 1099392.

The previous prime is 3378763. The next prime is 3378787. The reversal of 3378768 is 8678733.

It is a happy number.

It is a super-2 number, since 2×33787682 = 22832146395648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1246 + ... + 2882.

Almost surely, 23378768 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 3378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

3378768 is an abundant number, since it is smaller than the sum of its proper divisors (5558160).

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

3378768 is a wasteful number, since it uses less digits than its factorization.

3378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1685 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3378768 is about 1838.1425407188. The cubic root of 3378768 is about 150.0558014610.

The spelling of 3378768 in words is "three million, three hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1637 2064 3274 4911 6548 9822 13096 19644 26192 39288 70391 78576 140782 211173 281564 422346 563128 844692 1126256 1689384 3378768