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345005408 = 25115318493
BaseRepresentation
bin10100100100000…
…101110101100000
3220001012002110002
4110210011311200
51201310133113
654122355132
711356332446
oct2444056540
9801162402
10345005408
11167823740
129765baa8
1356627a17
1433b6ab96
152044dc58
hex14905d60

345005408 has 48 divisors (see below), whose sum is σ = 754999056. Its totient is φ = 153853440.

The previous prime is 345005393. The next prime is 345005483. The reversal of 345005408 is 804500543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9410 + ... + 27902.

It is an arithmetic number, because the mean of its divisors is an integer number (15729147).

Almost surely, 2345005408 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 345005408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377499528).

345005408 is an abundant number, since it is smaller than the sum of its proper divisors (409993648).

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

345005408 is a wasteful number, since it uses less digits than its factorization.

345005408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18559 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 345005408 is about 18574.3211989025. The cubic root of 345005408 is about 701.3615730106.

The spelling of 345005408 in words is "three hundred forty-five million, five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18493 18656 36986 73972 147944 203423 295888 406846 591776 813692 980129 1627384 1960258 3254768 3920516 6509536 7841032 10781419 15682064 21562838 31364128 43125676 86251352 172502704 345005408