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3416504 = 237132192
BaseRepresentation
bin1101000010000110111000
320102120120012
431002012320
51333312004
6201121052
741016440
oct15020670
96376505
103416504
111a23963
121189188
13928100
1464d120
1547746e
hex3421b8

3416504 has 72 divisors (see below), whose sum is σ = 8366760. Its totient is φ = 1280448.

The previous prime is 3416503. The next prime is 3416509. The reversal of 3416504 is 4056143.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3416504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 179807 + ... + 179825.

It is an arithmetic number, because the mean of its divisors is an integer number (116205).

Almost surely, 23416504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183380).

3416504 is an abundant number, since it is smaller than the sum of its proper divisors (4950256).

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

3416504 is a wasteful number, since it uses less digits than its factorization.

3416504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3416504 is about 1848.3787490663. The cubic root of 3416504 is about 150.6123706863.

The spelling of 3416504 in words is "three million, four hundred sixteen thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 169 182 247 266 338 361 364 494 532 676 722 728 988 1064 1183 1352 1444 1729 1976 2366 2527 2888 3211 3458 4693 4732 5054 6422 6916 9386 9464 10108 12844 13832 18772 20216 22477 25688 32851 37544 44954 61009 65702 89908 122018 131404 179816 244036 262808 427063 488072 854126 1708252 3416504