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3144042 = 233116779
BaseRepresentation
bin1011111111100101101010
312220201211000
423333211222
51301102132
6151215430
735503206
oct13774552
95821730
103144042
111858190
121077576
138610a5
145bbb06
1542187c
hex2ff96a

3144042 has 64 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 926640.

The previous prime is 3144023. The next prime is 3144059. The reversal of 3144042 is 2404413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39759 + ... + 39837.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 23144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

3144042 is an abundant number, since it is smaller than the sum of its proper divisors (4689558).

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

3144042 is a wasteful number, since it uses less digits than its factorization.

3144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3144042 is about 1773.1446641490. The cubic root of 3144042 is about 146.4972412283.

Adding to 3144042 its reverse (2404413), we get a palindrome (5548455).

It can be divided in two parts, 314 and 4042, that added together give a square (4356 = 662).

The spelling of 3144042 in words is "three million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 79 99 134 158 198 201 237 297 402 474 594 603 711 737 869 1206 1422 1474 1738 1809 2133 2211 2607 3618 4266 4422 5214 5293 6633 7821 10586 13266 15642 15879 19899 23463 31758 39798 46926 47637 58223 95274 116446 142911 174669 285822 349338 524007 1048014 1572021 3144042