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345690928 = 24119720249
BaseRepresentation
bin10100100110101…
…101001100110000
3220002110220210201
4110212231030300
51201444102203
654145204544
711365216162
oct2446551460
9802426721
10345690928
11168151790
1297930754
1356807a5b
1433ca8932
1520536e1d
hex149ad330

345690928 has 40 divisors (see below), whose sum is σ = 738234000. Its totient is φ = 155504640.

The previous prime is 345690923. The next prime is 345690931. The reversal of 345690928 is 829096543.

It is not an unprimeable number, because it can be changed into a prime (345690923) 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, 6948 + ... + 27196.

It is an arithmetic number, because the mean of its divisors is an integer number (18455850).

Almost surely, 2345690928 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 345690928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369117000).

345690928 is an abundant number, since it is smaller than the sum of its proper divisors (392543072).

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

345690928 is a wasteful number, since it uses less digits than its factorization.

345690928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20359 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 345690928 is about 18592.7654747754. The cubic root of 345690928 is about 701.8257969329.

The spelling of 345690928 in words is "three hundred forty-five million, six hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2134 4268 8536 17072 20249 40498 80996 161992 222739 323984 445478 890956 1781912 1964153 3563824 3928306 7856612 15713224 21605683 31426448 43211366 86422732 172845464 345690928