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3368232 = 2332741163
BaseRepresentation
bin1100110110010100101000
320100010100100
430312110220
51330240412
6200105400
740425630
oct14662450
96303310
103368232
1119a066a
121165260
1390c14a
146396c0
15467edc
hex336528

3368232 has 96 divisors (see below), whose sum is σ = 10745280. Its totient is φ = 933120.

The previous prime is 3368231. The next prime is 3368257. The reversal of 3368232 is 2328633.

3368232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33682322 = 22689973611648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (5184) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 3368196 and 3368205.

It is not an unprimeable number, because it can be changed into a prime (3368231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20583 + ... + 20745.

It is an arithmetic number, because the mean of its divisors is an integer number (111930).

Almost surely, 23368232 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 3368232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372640).

3368232 is an abundant number, since it is smaller than the sum of its proper divisors (7377048).

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

3368232 is a wasteful number, since it uses less digits than its factorization.

3368232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3368232 is about 1835.2743664096. The cubic root of 3368232 is about 149.8996662359.

It can be divided in two parts, 3368 and 232, that added together give a square (3600 = 602).

The spelling of 3368232 in words is "three million, three hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 163 164 168 246 252 287 326 328 369 489 492 504 574 652 738 861 978 984 1141 1148 1304 1467 1476 1722 1956 2282 2296 2583 2934 2952 3423 3444 3912 4564 5166 5868 6683 6846 6888 9128 10269 10332 11736 13366 13692 20049 20538 20664 26732 27384 40098 41076 46781 53464 60147 80196 82152 93562 120294 140343 160392 187124 240588 280686 374248 421029 481176 561372 842058 1122744 1684116 3368232