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3141384 = 23319832
BaseRepresentation
bin1011111110111100001000
312220121011120
423332330020
51301011014
6151155240
735462361
oct13767410
95817146
103141384
111856194
121075b20
1385cb0c
145bab68
15420ba9
hex2fef08

3141384 has 48 divisors (see below), whose sum is σ = 8367600. Its totient is φ = 980064.

The previous prime is 3141373. The next prime is 3141389. The reversal of 3141384 is 4831413.

It is a super-3 number, since 3×31413843 = 93000297316339533312, which contains 333 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (3141389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37807 + ... + 37889.

It is an arithmetic number, because the mean of its divisors is an integer number (174325).

Almost surely, 23141384 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 3141384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183800).

3141384 is an abundant number, since it is smaller than the sum of its proper divisors (5226216).

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

3141384 is a wasteful number, since it uses less digits than its factorization.

3141384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 107 counting only the distinct ones).

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

The square root of 3141384 is about 1772.3949898372. The cubic root of 3141384 is about 146.4559462488.

Adding to 3141384 its reverse (4831413), we get a palindrome (7972797).

The spelling of 3141384 in words is "three million, one hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 152 166 228 249 332 456 498 664 996 1577 1992 3154 4731 6308 6889 9462 12616 13778 18924 20667 27556 37848 41334 55112 82668 130891 165336 261782 392673 523564 785346 1047128 1570692 3141384