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3412008 = 233247389
BaseRepresentation
bin1101000001000000101000
320102100101200
431001000220
51333141013
6201044200
741000355
oct15010050
96370350
103412008
111a20546
121186660
13926052
1464b62c
15475e73
hex341028

3412008 has 24 divisors (see below), whose sum is σ = 9241050. Its totient is φ = 1137312.

The previous prime is 3411997. The next prime is 3412009. The reversal of 3412008 is 8002143.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3392964 + 19044 = 1842^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×34120083 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3412009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23623 + ... + 23766.

Almost surely, 23412008 is an apocalyptic number.

It is an amenable number.

3412008 is an abundant number, since it is smaller than the sum of its proper divisors (5829042).

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

3412008 is a wasteful number, since it uses less digits than its factorization.

3412008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47401 (or 47394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3412008 is about 1847.1621477282. The cubic root of 3412008 is about 150.5462748105.

The spelling of 3412008 in words is "three million, four hundred twelve thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 47389 94778 142167 189556 284334 379112 426501 568668 853002 1137336 1706004 3412008