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342520960 = 2754759193
BaseRepresentation
bin10100011010100…
…111010010000000
3212212111212102111
4110122213102000
51200141132320
653553225104
711326244245
oct2432472200
9785455374
10342520960
11166387081
1296862194
1355c67c32
14336c15cc
152010ca5a
hex146a7480

342520960 has 128 divisors (see below), whose sum is σ = 854841600. Its totient is φ = 131137536.

The previous prime is 342520949. The next prime is 342520973. The reversal of 342520960 is 69025243.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1774624 + ... + 1774816.

It is an arithmetic number, because the mean of its divisors is an integer number (6678450).

Almost surely, 2342520960 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 342520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427420800).

342520960 is an abundant number, since it is smaller than the sum of its proper divisors (512320640).

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

342520960 is a wasteful number, since it uses less digits than its factorization.

342520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 342520960 is about 18507.3217943602. The cubic root of 342520960 is about 699.6739706223.

The spelling of 342520960 in words is "three hundred forty-two million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 64 80 94 118 128 160 188 193 235 236 295 320 376 386 470 472 590 640 752 772 940 944 965 1180 1504 1544 1880 1888 1930 2360 2773 3008 3088 3760 3776 3860 4720 5546 6016 6176 7520 7552 7720 9071 9440 11092 11387 12352 13865 15040 15440 18142 18880 22184 22774 24704 27730 30080 30880 36284 37760 44368 45355 45548 55460 56935 61760 72568 88736 90710 91096 110920 113870 123520 145136 177472 181420 182192 221840 227740 290272 354944 362840 364384 443680 455480 535189 580544 725680 728768 887360 910960 1070378 1161088 1451360 1457536 1774720 1821920 2140756 2675945 2902720 3643840 4281512 5351890 5805440 7287680 8563024 10703780 17126048 21407560 34252096 42815120 68504192 85630240 171260480 342520960