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345411400 = 23521727057
BaseRepresentation
bin10100100101101…
…000111101001000
3220001221201100211
4110211220331020
51201411131100
654135210504
711362643215
oct2445507510
9801851324
10345411400
11167a80774
1297816a34
135673a759
1433c34b0c
15204ce1ba
hex14968f48

345411400 has 24 divisors (see below), whose sum is σ = 803081970. Its totient is φ = 138164480.

The previous prime is 345411397. The next prime is 345411419. The reversal of 345411400 is 4114543.

345411400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 307441156 + 37970244 = 17534^2 + 6162^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 863329 + ... + 863728.

Almost surely, 2345411400 is an apocalyptic number.

It is an amenable number.

345411400 is an abundant number, since it is smaller than the sum of its proper divisors (457670570).

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

345411400 is a wasteful number, since it uses less digits than its factorization.

345411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727073 (or 1727064 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 345411400 is about 18585.2468372093. The cubic root of 345411400 is about 701.6365789092.

Adding to 345411400 its reverse (4114543), we get a palindrome (349525943).

The spelling of 345411400 in words is "three hundred forty-five million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1727057 3454114 6908228 8635285 13816456 17270570 34541140 43176425 69082280 86352850 172705700 345411400