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342076592 = 241113307487
BaseRepresentation
bin10100011000111…
…010110010110000
3212211200021212102
4110120322302300
51200032422332
653535515532
711322413564
oct2430726260
9784607772
10342076592
11166103230
1296688ba8
1355b408b0
14336076a4
1520071062
hex1463acb0

342076592 has 80 divisors (see below), whose sum is σ = 782783232. Its totient is φ = 142767360.

The previous prime is 342076583. The next prime is 342076639. The reversal of 342076592 is 295670243.

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 15 ways as a sum of consecutive naturals, for example, 702173 + ... + 702659.

Almost surely, 2342076592 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 342076592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391391616).

342076592 is an abundant number, since it is smaller than the sum of its proper divisors (440706640).

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

342076592 is a wasteful number, since it uses less digits than its factorization.

342076592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 342076592 is about 18495.3127034933. The cubic root of 342076592 is about 699.3712667394.

The spelling of 342076592 in words is "three hundred forty-two million, seventy-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 307 487 572 614 974 1144 1228 1948 2288 2456 3377 3896 3991 4912 5357 6331 6754 7792 7982 10714 12662 13508 15964 21428 25324 27016 31928 42856 43901 50648 54032 63856 69641 85712 87802 101296 139282 149509 175604 278564 299018 351208 557128 598036 702416 1114256 1196072 1644599 1943617 2392144 3289198 3887234 6578396 7774468 13156792 15548936 21379787 26313584 31097872 42759574 85519148 171038296 342076592