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3485376 = 26332017
BaseRepresentation
bin1101010010111011000000
320120002001000
431102323000
51343013001
6202412000
741424306
oct15227300
96502030
103485376
111a70684
121201000
1395056b
1466a276
1548ca86
hex352ec0

3485376 has 56 divisors (see below), whose sum is σ = 10251440. Its totient is φ = 1161216.

The previous prime is 3485359. The next prime is 3485381. The reversal of 3485376 is 6735843.

It is a happy number.

It is a super-2 number, since 2×34853762 = 24295691722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3485376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 2736.

Almost surely, 23485376 is an apocalyptic number.

3485376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125720).

3485376 is an abundant number, since it is smaller than the sum of its proper divisors (6766064).

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

3485376 is a wasteful number, since it uses less digits than its factorization.

3485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2022 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3485376 is about 1866.9161738011. The cubic root of 3485376 is about 151.6176911196.

The spelling of 3485376 in words is "three million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2017 4034 6051 8068 12102 16136 18153 24204 32272 36306 48408 54459 64544 72612 96816 108918 129088 145224 193632 217836 290448 387264 435672 580896 871344 1161792 1742688 3485376