Search a number
-
+
3331340142 = 2313299671523
BaseRepresentation
bin1100011010010000…
…0011011101101110
322121011111121120020
43012210003131232
523310310341032
61310322103010
7145360631634
oct30644033556
98534447506
103331340142
11145a500179
1278b7aaa66
134112362b0
14238617354
151476e3b2c
hexc690376e

3331340142 has 64 divisors (see below), whose sum is σ = 7435169280. Its totient is φ = 988009344.

The previous prime is 3331340083. The next prime is 3331340239. The reversal of 3331340142 is 2410431333.

3331340142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33313401422 = 22195654283401160328, which contains 22 as substring.

It is a congruent number.

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, 2186593 + ... + 2188115.

It is an arithmetic number, because the mean of its divisors is an integer number (116174520).

Almost surely, 23331340142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331340142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717584640).

3331340142 is an abundant number, since it is smaller than the sum of its proper divisors (4103829138).

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

3331340142 is a wasteful number, since it uses less digits than its factorization.

3331340142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3331340142 is about 57717.7627944812. The cubic root of 3331340142 is about 1493.5037795833.

Adding to 3331340142 its reverse (2410431333), we get a palindrome (5741771475).

The spelling of 3331340142 in words is "three billion, three hundred thirty-one million, three hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 967 1131 1523 1934 2262 2901 3046 4569 5802 9138 12571 19799 25142 28043 37713 39598 44167 56086 59397 75426 84129 88334 118794 132501 168258 265002 364559 574171 729118 1093677 1148342 1472741 1722513 2187354 2945482 3445026 4418223 8836446 19145633 38291266 42709489 57436899 85418978 114873798 128128467 256256934 555223357 1110446714 1665670071 3331340142