[go: up one dir, main page]

Search a number
-
+
3485916 = 223472953
BaseRepresentation
bin1101010011000011011100
320120002210000
431103003130
51343022131
6202414300
741426010
oct15230334
96502700
103485916
111a71025
121201390
13950895
1466a540
1548cce6
hex3530dc

3485916 has 120 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 943488.

The previous prime is 3485899. The next prime is 3485921. The reversal of 3485916 is 6195843.

3485916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34859162 = 24303220718112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 65746 + ... + 65798.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 23485916 is an apocalyptic number.

3485916 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 3485916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

3485916 is an abundant number, since it is smaller than the sum of its proper divisors (7491204).

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

3485916 is a wasteful number, since it uses less digits than its factorization.

3485916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

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

The square root of 3485916 is about 1867.0607917259. The cubic root of 3485916 is about 151.6255209133.

The spelling of 3485916 in words is "three million, four hundred eighty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 53 54 58 63 81 84 87 106 108 116 126 159 162 174 189 203 212 252 261 318 324 348 371 378 406 477 522 567 609 636 742 756 783 812 954 1044 1113 1134 1218 1431 1484 1537 1566 1827 1908 2226 2268 2349 2436 2862 3074 3132 3339 3654 4293 4452 4611 4698 5481 5724 6148 6678 7308 8586 9222 9396 10017 10759 10962 13356 13833 16443 17172 18444 20034 21518 21924 27666 30051 32277 32886 40068 41499 43036 55332 60102 64554 65772 82998 96831 120204 124497 129108 165996 193662 248994 290493 387324 497988 580986 871479 1161972 1742958 3485916