Search a number
-
+
345867676 = 227211592719
BaseRepresentation
bin10100100111011…
…000010110011100
3220002210220020221
4110213120112130
51202020231201
654153051124
711366553400
oct2447302634
9802726227
10345867676
11168262560
12979b6aa4
135686a33b
1433d13100
152056e4a1
hex149d859c

345867676 has 72 divisors (see below), whose sum is σ = 781401600. Its totient is φ = 132420960.

The previous prime is 345867671. The next prime is 345867679. The reversal of 345867676 is 676768543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345867671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125845 + ... + 128563.

It is an arithmetic number, because the mean of its divisors is an integer number (10852800).

Almost surely, 2345867676 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 345867676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

345867676 is an abundant number, since it is smaller than the sum of its proper divisors (435533924).

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

345867676 is a wasteful number, since it uses less digits than its factorization.

345867676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2798 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 52.

The square root of 345867676 is about 18597.5180064438. The cubic root of 345867676 is about 701.9453885109.

The spelling of 345867676 in words is "three hundred forty-five million, eight hundred sixty-seven thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 98 118 154 196 236 308 413 539 649 826 1078 1298 1652 2156 2596 2719 2891 4543 5438 5782 9086 10876 11564 18172 19033 29909 31801 38066 59818 63602 76132 119636 127204 133231 160421 209363 266462 320842 418726 532924 641684 837452 1122947 1465541 1764631 2245894 2931082 3529262 4491788 5862164 7058524 7860629 12352417 15721258 24704834 31442516 49409668 86466919 172933838 345867676