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3492216 = 2332713241
BaseRepresentation
bin1101010100100101111000
320120102102100
431110211320
51343222331
6202503400
741453250
oct15244570
96512370
103492216
111a75832
121204b60
13953700
1466c960
1548eae6
hex354978

3492216 has 144 divisors (see below), whose sum is σ = 11990160. Its totient is φ = 898560.

The previous prime is 3492193. The next prime is 3492233. The reversal of 3492216 is 6122943.

3492216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3492216.

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 35 ways as a sum of consecutive naturals, for example, 85156 + ... + 85196.

It is an arithmetic number, because the mean of its divisors is an integer number (83265).

Almost surely, 23492216 is an apocalyptic number.

3492216 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 3492216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995080).

3492216 is an abundant number, since it is smaller than the sum of its proper divisors (8497944).

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

3492216 is a wasteful number, since it uses less digits than its factorization.

3492216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3492216 is about 1868.7471739109. The cubic root of 3492216 is about 151.7168088176.

The spelling of 3492216 in words is "three million, four hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 41 42 52 56 63 72 78 82 84 91 104 117 123 126 156 164 168 169 182 234 246 252 273 287 312 328 338 364 369 468 492 504 507 533 546 574 676 728 738 819 861 936 984 1014 1066 1092 1148 1183 1352 1476 1521 1599 1638 1722 2028 2132 2184 2296 2366 2583 2952 3042 3198 3276 3444 3549 3731 4056 4264 4732 4797 5166 6084 6396 6552 6888 6929 7098 7462 9464 9594 10332 10647 11193 12168 12792 13858 14196 14924 19188 20664 20787 21294 22386 27716 28392 29848 33579 38376 41574 42588 44772 48503 55432 62361 67158 83148 85176 89544 97006 124722 134316 145509 166296 194012 249444 268632 291018 388024 436527 498888 582036 873054 1164072 1746108 3492216