Base | Representation |
---|---|
bin | 10101000110100… |
… | …111110001100000 |
3 | 220200012222022210 |
4 | 111012213301200 |
5 | 1211114313222 |
6 | 55044402120 |
7 | 11526303030 |
oct | 2506476140 |
9 | 820188283 |
10 | 354057312 |
11 | 171946554 |
12 | 9a6a6340 |
13 | 58476b8b |
14 | 350458c0 |
15 | 2113ad0c |
hex | 151a7c60 |
354057312 has 48 divisors (see below), whose sum is σ = 1062173952. Its totient is φ = 101159040.
The previous prime is 354057311. The next prime is 354057349. The reversal of 354057312 is 213750453.
It is a tau number, because it is divible by the number of its divisors (48).
It is a self number, because there is not a number n which added to its sum of digits gives 354057312.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354057311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262764 + ... + 264107.
It is an arithmetic number, because the mean of its divisors is an integer number (22128624).
Almost surely, 2354057312 is an apocalyptic number.
354057312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
354057312 is an abundant number, since it is smaller than the sum of its proper divisors (708116640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354057312 is a wasteful number, since it uses less digits than its factorization.
354057312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526891 (or 526883 counting only the distinct ones).
The product of its (nonzero) digits is 12600, while the sum is 30.
The square root of 354057312 is about 18816.4107098033. The cubic root of 354057312 is about 707.4425693080.
The spelling of 354057312 in words is "three hundred fifty-four million, fifty-seven thousand, three hundred twelve".
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