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3401216 = 2971373
BaseRepresentation
bin1100111110011000000000
320101210120222
430332120000
51332314331
6200522212
740624040
oct14763000
96353528
103401216
111a13425
121180368
13921170
14647720
15472b7b
hex33e600

3401216 has 80 divisors (see below), whose sum is σ = 8478624. Its totient is φ = 1327104.

The previous prime is 3401213. The next prime is 3401221. The reversal of 3401216 is 6121043.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3401194 and 3401203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46556 + ... + 46628.

Almost surely, 23401216 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 3401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239312).

3401216 is an abundant number, since it is smaller than the sum of its proper divisors (5077408).

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

3401216 is an equidigital number, since it uses as much as digits as its factorization.

3401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3401216 is about 1844.2385962776. The cubic root of 3401216 is about 150.3873838821.

Adding to 3401216 its reverse (6121043), we get a palindrome (9522259).

The spelling of 3401216 in words is "three million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 73 91 104 112 128 146 182 208 224 256 292 364 416 448 511 512 584 728 832 896 949 1022 1168 1456 1664 1792 1898 2044 2336 2912 3328 3584 3796 4088 4672 5824 6643 6656 7592 8176 9344 11648 13286 15184 16352 18688 23296 26572 30368 32704 37376 46592 53144 60736 65408 106288 121472 130816 212576 242944 261632 425152 485888 850304 1700608 3401216