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3430768 = 2411101193
BaseRepresentation
bin1101000101100101110000
320110022010111
431011211300
51334241033
6201311104
741106145
oct15054560
96408114
103430768
111a33650
121195494
13931753
146543cc
1547b7cd
hex345970

3430768 has 40 divisors (see below), whose sum is σ = 7361136. Its totient is φ = 1536000.

The previous prime is 3430727. The next prime is 3430771. The reversal of 3430768 is 8670343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17680 + ... + 17872.

Almost surely, 23430768 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 3430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680568).

3430768 is an abundant number, since it is smaller than the sum of its proper divisors (3930368).

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

3430768 is a wasteful number, since it uses less digits than its factorization.

3430768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3430768 is about 1852.2332466512. The cubic root of 3430768 is about 150.8216832843.

The spelling of 3430768 in words is "three million, four hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 193 202 386 404 772 808 1111 1544 1616 2123 2222 3088 4246 4444 8492 8888 16984 17776 19493 33968 38986 77972 155944 214423 311888 428846 857692 1715384 3430768