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3123216 = 243223241
BaseRepresentation
bin1011111010100000010000
312212200020200
423322200100
51244420331
6150535200
735355405
oct13724020
95780220
103123216
111843578
121067500
13854775
145b42ac
1541a5e6
hex2fa810

3123216 has 90 divisors (see below), whose sum is σ = 9360078. Its totient is φ = 971520.

The previous prime is 3123209. The next prime is 3123217. The reversal of 3123216 is 6123213.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 1218816 = 1380^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123217) 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, 76156 + ... + 76196.

Almost surely, 23123216 is an apocalyptic number.

3123216 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 3123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680039).

3123216 is an abundant number, since it is smaller than the sum of its proper divisors (6236862).

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

3123216 is a wasteful number, since it uses less digits than its factorization.

3123216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3123216 is about 1767.2622895315. The cubic root of 3123216 is about 146.1730605607.

Adding to 3123216 its reverse (6123213), we get a palindrome (9246429).

The spelling of 3123216 in words is "three million, one hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 164 184 207 246 276 328 368 369 414 492 529 552 656 738 828 943 984 1058 1104 1476 1587 1656 1886 1968 2116 2829 2952 3174 3312 3772 4232 4761 5658 5904 6348 7544 8464 8487 9522 11316 12696 15088 16974 19044 21689 22632 25392 33948 38088 43378 45264 65067 67896 76176 86756 130134 135792 173512 195201 260268 347024 390402 520536 780804 1041072 1561608 3123216