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3405630 = 235611861
BaseRepresentation
bin1100111111011100111110
320102000122110
430333130332
51332440010
6200554450
740642644
oct14773476
96360573
103405630
111a16778
121182a26
13923187
14649194
15474120
hex33f73e

3405630 has 32 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 892800.

The previous prime is 3405613. The next prime is 3405637. The reversal of 3405630 is 365043.

It is a junction number, because it is equal to n+sod(n) for n = 3405597 and 3405606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405637) 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, 900 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 23405630 is an apocalyptic number.

3405630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

3405630 is an abundant number, since it is smaller than the sum of its proper divisors (4906338).

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

3405630 is a wasteful number, since it uses less digits than its factorization.

3405630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3405630 is about 1845.4349080908. The cubic root of 3405630 is about 150.4524118958.

The spelling of 3405630 in words is "three million, four hundred five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 1861 3722 5583 9305 11166 18610 27915 55830 113521 227042 340563 567605 681126 1135210 1702815 3405630