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3415896 = 23321119227
BaseRepresentation
bin1101000001111101011000
320102112201200
431001331120
51333302041
6201114200
741014611
oct15017530
96375650
103415896
111a23460
121188960
13927a53
1464cc08
154771b6
hex341f58

3415896 has 96 divisors (see below), whose sum is σ = 10670400. Its totient is φ = 976320.

The previous prime is 3415883. The next prime is 3415897. The reversal of 3415896 is 6985143.

3415896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3415896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14935 + ... + 15161.

It is an arithmetic number, because the mean of its divisors is an integer number (111150).

Almost surely, 23415896 is an apocalyptic number.

3415896 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 3415896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335200).

3415896 is an abundant number, since it is smaller than the sum of its proper divisors (7254504).

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

3415896 is a wasteful number, since it uses less digits than its factorization.

3415896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3415896 is about 1848.2142732919. The cubic root of 3415896 is about 150.6034358459.

The spelling of 3415896 in words is "three million, four hundred fifteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 227 228 264 342 396 418 454 456 627 681 684 792 836 908 1254 1362 1368 1672 1816 1881 2043 2497 2508 2724 3762 4086 4313 4994 5016 5448 7491 7524 8172 8626 9988 12939 14982 15048 16344 17252 19976 22473 25878 29964 34504 38817 44946 47443 51756 59928 77634 89892 94886 103512 142329 155268 179784 189772 284658 310536 379544 426987 569316 853974 1138632 1707948 3415896