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3485370 = 235722371
BaseRepresentation
bin1101010010111010111010
320120002000210
431102322322
51343012440
6202411550
741424300
oct15227272
96502023
103485370
111a70679
121200bb6
13950565
1466a270
1548ca80
hex352eba

3485370 has 48 divisors (see below), whose sum is σ = 9734688. Its totient is φ = 796320.

The previous prime is 3485359. The next prime is 3485381. The reversal of 3485370 is 735843.

3485370 = 2562 + 2572 + ... + 3002.

It is an interprime number because it is at equal distance from previous prime (3485359) and next prime (3485381).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 285 + ... + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (202806).

Almost surely, 23485370 is an apocalyptic number.

3485370 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 3485370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867344).

3485370 is an abundant number, since it is smaller than the sum of its proper divisors (6249318).

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

3485370 is a wasteful number, since it uses less digits than its factorization.

3485370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3485370 is about 1866.9145668723. The cubic root of 3485370 is about 151.6176041174.

The spelling of 3485370 in words is "three million, four hundred eighty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2371 4742 7113 11855 14226 16597 23710 33194 35565 49791 71130 82985 99582 116179 165970 232358 248955 348537 497910 580895 697074 1161790 1742685 3485370