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339886096 = 241124192
BaseRepresentation
bin10100010000100…
…100000000010000
3212200120000001221
4110100210000100
51144002323341
653420534424
711264661364
oct2420440020
9780500057
10339886096
11164947500
12959b1414
1355554844
14331d72a4
151ec8bed1
hex14424010

339886096 has 45 divisors (see below), whose sum is σ = 725569663. Its totient is φ = 154124960.

The previous prime is 339886081. The next prime is 339886121. The reversal of 339886096 is 690688933.

The square root of 339886096 is 18436.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 810975 + ... + 811393.

Almost surely, 2339886096 is an apocalyptic number.

339886096 is the 18436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339886096

339886096 is an abundant number, since it is smaller than the sum of its proper divisors (385683567).

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

339886096 is an equidigital number, since it uses as much as digits as its factorization.

339886096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The cubic root of 339886096 is about 697.8752551406.

Multiplying 339886096 by its product of nonzero digits (1679616), we get a square (570878125019136 = 238930562).

The spelling of 339886096 in words is "three hundred thirty-nine million, eight hundred eighty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 419 484 838 968 1676 1936 3352 4609 6704 9218 18436 36872 50699 73744 101398 175561 202796 351122 405592 702244 811184 1404488 1931171 2808976 3862342 7724684 15449368 21242881 30898736 42485762 84971524 169943048 339886096