Search a number
-
+
346148816 = 241310116477
BaseRepresentation
bin10100101000011…
…100111111010000
3220010100011220112
4110220130333100
51202103230231
654203100452
711402134136
oct2450347720
9803304815
10346148816
11168434802
1297b11728
13569382b0
1433d87756
15205c792b
hex14a1cfd0

346148816 has 40 divisors (see below), whose sum is σ = 729448104. Its totient is φ = 158169600.

The previous prime is 346148813. The next prime is 346148819. The reversal of 346148816 is 618841643.

It is an interprime number because it is at equal distance from previous prime (346148813) and next prime (346148819).

It can be written as a sum of positive squares in 4 ways, for example, as 53875600 + 292273216 = 7340^2 + 17096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346148813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12770 + ... + 29246.

Almost surely, 2346148816 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 346148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364724052).

346148816 is an abundant number, since it is smaller than the sum of its proper divisors (383299288).

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

346148816 is a wasteful number, since it uses less digits than its factorization.

346148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16593 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 346148816 is about 18605.0750065674. The cubic root of 346148816 is about 702.1355300915.

The spelling of 346148816 in words is "three hundred forty-six million, one hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 2626 5252 10504 16477 21008 32954 65908 131816 214201 263632 428402 856804 1664177 1713608 3328354 3427216 6656708 13313416 21634301 26626832 43268602 86537204 173074408 346148816