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3387216 = 243717593
BaseRepresentation
bin1100111010111101010000
320101002101110
430322331100
51331342331
6200333320
740535160
oct14727520
96332343
103387216
111a03958
121174240
13917991
146425a0
1546d946
hex33af50

3387216 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 909312.

The previous prime is 3387203. The next prime is 3387253. The reversal of 3387216 is 6127833.

It is a super-2 number, since 2×33872162 = 22946464461312, which contains 22 as substring.

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

It is a congruent number.

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, 5416 + ... + 6008.

Almost surely, 23387216 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 3387216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

3387216 is an abundant number, since it is smaller than the sum of its proper divisors (7219248).

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

3387216 is a wasteful number, since it uses less digits than its factorization.

3387216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3387216 is about 1840.4390780463. The cubic root of 3387216 is about 150.1807598628.

The spelling of 3387216 in words is "three million, three hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 593 714 816 952 1186 1428 1779 1904 2372 2856 3558 4151 4744 5712 7116 8302 9488 10081 12453 14232 16604 20162 24906 28464 30243 33208 40324 49812 60486 66416 70567 80648 99624 120972 141134 161296 199248 211701 241944 282268 423402 483888 564536 846804 1129072 1693608 3387216