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3431142 = 23211133143
BaseRepresentation
bin1101000101101011100110
320110022122100
431011223212
51334244032
6201312530
741110221
oct15055346
96408570
103431142
111a33960
121195746
13931980
146545b8
1547b97c
hex345ae6

3431142 has 96 divisors (see below), whose sum is σ = 9225216. Its totient is φ = 907200.

The previous prime is 3431123. The next prime is 3431143. The reversal of 3431142 is 2411343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79773 + ... + 79815.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

Almost surely, 23431142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612608).

3431142 is an abundant number, since it is smaller than the sum of its proper divisors (5794074).

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

3431142 is a wasteful number, since it uses less digits than its factorization.

3431142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3431142 is about 1852.3342031070. The cubic root of 3431142 is about 150.8271636180.

Adding to 3431142 its reverse (2411343), we get a palindrome (5842485).

It can be divided in two parts, 343 and 1142, that added together give a triangular number (1485 = T54).

The spelling of 3431142 in words is "three million, four hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 43 62 66 78 86 93 99 117 129 143 186 198 234 258 279 286 341 387 403 429 473 558 559 682 774 806 858 946 1023 1118 1209 1287 1333 1419 1677 2046 2418 2574 2666 2838 3069 3354 3627 3999 4257 4433 5031 6138 6149 7254 7998 8514 8866 10062 11997 12298 13299 14663 17329 18447 23994 26598 29326 34658 36894 39897 43989 51987 55341 79794 87978 103974 110682 131967 155961 190619 263934 311922 381238 571857 1143714 1715571 3431142