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2906334 = 233107503
BaseRepresentation
bin1011000101100011011110
312110122202000
423011203132
51221000314
6142143130
733463164
oct13054336
95418660
102906334
111705632
12b81aa6
137a9b32
14559234
153c6209
hex2c58de

2906334 has 32 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 957816.

The previous prime is 2906333. The next prime is 2906347. The reversal of 2906334 is 4336092.

2906334 is a `hidden beast` number, since 29 + 0 + 633 + 4 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2906298 and 2906307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

22906334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2906334 is an abundant number, since it is smaller than the sum of its proper divisors (3625506).

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

2906334 is a wasteful number, since it uses less digits than its factorization.

2906334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2906334 is about 1704.7973486605. The cubic root of 2906334 is about 142.7080617159.

It can be divided in two parts, 2906 and 334, that added together give a triangular number (3240 = T80).

The spelling of 2906334 in words is "two million, nine hundred six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 503 642 963 1006 1509 1926 2889 3018 4527 5778 9054 13581 27162 53821 107642 161463 322926 484389 968778 1453167 2906334