Search a number
-
+
346865142 = 231379181311
BaseRepresentation
bin10100101011001…
…011110111110110
3220011200120112010
4110223023313312
51202244141032
654230305050
711411206431
oct2453136766
9804616463
10346865142
11168883a08
12981b8186
1356b29360
14340d2818
15206b9ccc
hex14acbdf6

346865142 has 64 divisors (see below), whose sum is σ = 763176960. Its totient is φ = 104457600.

The previous prime is 346865137. The next prime is 346865153. The reversal of 346865142 is 241568643.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 346865142.

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, 1115167 + ... + 1115477.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2346865142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346865142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588480).

346865142 is an abundant number, since it is smaller than the sum of its proper divisors (416311818).

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

346865142 is a wasteful number, since it uses less digits than its factorization.

346865142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589.

The product of its digits is 138240, while the sum is 39.

The square root of 346865142 is about 18624.3158800532. The cubic root of 346865142 is about 702.6195332791.

The spelling of 346865142 in words is "three hundred forty-six million, eight hundred sixty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 79 158 181 237 311 362 474 543 622 933 1027 1086 1866 2054 2353 3081 4043 4706 6162 7059 8086 12129 14118 14299 24258 24569 28598 42897 49138 56291 73707 85794 112582 147414 168873 185887 319397 337746 371774 557661 638794 731783 958191 1115322 1463566 1916382 2195349 4390698 4446989 8893978 13340967 26681934 57810857 115621714 173432571 346865142