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3430968 = 233592423
BaseRepresentation
bin1101000101101000111000
320110022101220
431011220320
51334242333
6201312040
741106552
oct15055070
96408356
103430968
111a33812
121195620
13931878
146544d2
1547b8b3
hex345a38

3430968 has 32 divisors (see below), whose sum is σ = 8726400. Its totient is φ = 1123808.

The previous prime is 3430967. The next prime is 3431009. The reversal of 3430968 is 8690343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430967) 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, 205 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (272700).

Almost surely, 23430968 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 3430968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363200).

3430968 is an abundant number, since it is smaller than the sum of its proper divisors (5295432).

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

3430968 is a wasteful number, since it uses less digits than its factorization.

3430968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3430968 is about 1852.2872347452. The cubic root of 3430968 is about 150.8246139936.

The spelling of 3430968 in words is "three million, four hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 2423 4846 7269 9692 14538 19384 29076 58152 142957 285914 428871 571828 857742 1143656 1715484 3430968