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342439960 = 23543892237
BaseRepresentation
bin10100011010010…
…011100000011000
3212212100202022111
4110122103200120
51200131034320
653551402104
711325456142
oct2432234030
9785322274
10342439960
11166331235
1296823334
1355c3a0c5
143369dc92
15200e3a5a
hex14693818

342439960 has 64 divisors (see below), whose sum is σ = 797623200. Its totient is φ = 132228096.

The previous prime is 342439931. The next prime is 342439961. The reversal of 342439960 is 69934243.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342439961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151962 + ... + 154198.

Almost surely, 2342439960 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 342439960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398811600).

342439960 is an abundant number, since it is smaller than the sum of its proper divisors (455183240).

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

342439960 is a wasteful number, since it uses less digits than its factorization.

342439960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 342439960 is about 18505.1333418595. The cubic root of 342439960 is about 699.6188128692.

The spelling of 342439960 in words is "three hundred forty-two million, four hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 89 172 178 215 344 356 430 445 712 860 890 1720 1780 2237 3560 3827 4474 7654 8948 11185 15308 17896 19135 22370 30616 38270 44740 76540 89480 96191 153080 192382 199093 384764 398186 480955 769528 796372 961910 995465 1592744 1923820 1990930 3847640 3981860 7963720 8560999 17121998 34243996 42804995 68487992 85609990 171219980 342439960