Search a number
-
+
345799856 = 24172235701
BaseRepresentation
bin10100100111000…
…111110010110000
3220002200110020002
4110213013302300
51202011043411
654151405132
711366151563
oct2447076260
9802613202
10345799856
11168216606
12979837a8
13568454cc
1433cd64da
152055933b
hex149c7cb0

345799856 has 40 divisors (see below), whose sum is σ = 712704384. Its totient is φ = 161971200.

The previous prime is 345799843. The next prime is 345799877. The reversal of 345799856 is 658997543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57806 + ... + 63506.

Almost surely, 2345799856 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 345799856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356352192).

345799856 is an abundant number, since it is smaller than the sum of its proper divisors (366904528).

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

345799856 is a wasteful number, since it uses less digits than its factorization.

345799856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5943 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 56.

The square root of 345799856 is about 18595.6945554609. The cubic root of 345799856 is about 701.8995048281.

The spelling of 345799856 in words is "three hundred forty-five million, seven hundred ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 223 272 446 892 1784 3568 3791 5701 7582 11402 15164 22804 30328 45608 60656 91216 96917 193834 387668 775336 1271323 1550672 2542646 5085292 10170584 20341168 21612491 43224982 86449964 172899928 345799856