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3482016 = 253192383
BaseRepresentation
bin1101010010000110100000
320112220102120
431102012200
51342411031
6202344240
741411436
oct15220640
96486376
103482016
111a690aa
1211bb080
1394bb85
14668d56
1548ba96
hex3521a0

3482016 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1039104.

The previous prime is 3481999. The next prime is 3482021. The reversal of 3482016 is 6102843.

3482016 = 6182 + 6192 + ... + 6262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41911 + ... + 41993.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23482016 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 3482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3482016 is an abundant number, since it is smaller than the sum of its proper divisors (6678624).

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

3482016 is a wasteful number, since it uses less digits than its factorization.

3482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3482016 is about 1866.0160771012. The cubic root of 3482016 is about 151.5689542226.

Adding to 3482016 its reverse (6102843), we get a palindrome (9584859).

The spelling of 3482016 in words is "three million, four hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 83 92 96 114 138 152 166 184 228 249 276 304 332 368 437 456 498 552 608 664 736 874 912 996 1104 1311 1328 1577 1748 1824 1909 1992 2208 2622 2656 3154 3496 3818 3984 4731 5244 5727 6308 6992 7636 7968 9462 10488 11454 12616 13984 15272 18924 20976 22908 25232 30544 36271 37848 41952 45816 50464 61088 72542 75696 91632 108813 145084 151392 183264 217626 290168 435252 580336 870504 1160672 1741008 3482016