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3405870 = 2325134171
BaseRepresentation
bin1100111111100000101110
320102000222100
430333200232
51332441440
6200555530
740643436
oct14774056
96360870
103405870
111a16976
121182ba6
13923310
146492c6
15474230
hex33f82e

3405870 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 806400.

The previous prime is 3405841. The next prime is 3405881. The reversal of 3405870 is 785043.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47935 + ... + 48005.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 23405870 is an apocalyptic number.

3405870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1845×1846.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3405870 is an abundant number, since it is smaller than the sum of its proper divisors (6500754).

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

3405870 is a wasteful number, since it uses less digits than its factorization.

3405870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3405870 is about 1845.4999322677. The cubic root of 3405870 is about 150.4559460173.

The spelling of 3405870 in words is "three million, four hundred five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 71 78 82 90 117 123 130 142 195 205 213 234 246 355 369 390 410 426 533 585 615 639 710 738 923 1065 1066 1170 1230 1278 1599 1845 1846 2130 2665 2769 2911 3195 3198 3690 4615 4797 5330 5538 5822 6390 7995 8307 8733 9230 9594 13845 14555 15990 16614 17466 23985 26199 27690 29110 37843 41535 43665 47970 52398 75686 83070 87330 113529 130995 189215 227058 261990 340587 378430 567645 681174 1135290 1702935 3405870