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345328128 = 293274941
BaseRepresentation
bin10100100101010…
…100101000000000
3220001210111010200
4110211110220000
51201401000003
654133325200
711362145355
oct2445245000
9801714120
10345328128
11167a24152
1297796800
135670b892
1433c1262c
15204b46a3
hex14954a00

345328128 has 60 divisors (see below), whose sum is σ = 996653658. Its totient is φ = 115107840.

The previous prime is 345328037. The next prime is 345328133. The reversal of 345328128 is 821823543.

It can be written as a sum of positive squares in only one way, i.e., 330948864 + 14379264 = 18192^2 + 3792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345328092 and 345328101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32863 + ... + 42078.

Almost surely, 2345328128 is an apocalyptic number.

It is an amenable number.

345328128 is an abundant number, since it is smaller than the sum of its proper divisors (651325530).

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

345328128 is an equidigital number, since it uses as much as digits as its factorization.

345328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74965 (or 74946 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 345328128 is about 18583.0064306075. The cubic root of 345328128 is about 701.5801907133.

The spelling of 345328128 in words is "three hundred forty-five million, three hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 74941 149882 224823 299764 449646 599528 674469 899292 1199056 1348938 1798584 2398112 2697876 3597168 4796224 5395752 7194336 9592448 10791504 14388672 19184896 21583008 28777344 38369792 43166016 57554688 86332032 115109376 172664064 345328128