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342580854 = 23731137409
BaseRepresentation
bin10100011010110…
…101111001110110
3212212121220120210
4110122311321312
51200200041404
653554410250
711326614000
oct2432657166
9785556523
10342580854
11166418080
1296890986
1355c89285
14336d9370
1520120689
hex146b5e76

342580854 has 128 divisors (see below), whose sum is σ = 897408000. Its totient is φ = 86365440.

The previous prime is 342580853. The next prime is 342580867. The reversal of 342580854 is 458085243.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342580853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 837402 + ... + 837810.

It is an arithmetic number, because the mean of its divisors is an integer number (7011000).

Almost surely, 2342580854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342580854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448704000).

342580854 is an abundant number, since it is smaller than the sum of its proper divisors (554827146).

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

342580854 is a wasteful number, since it uses less digits than its factorization.

342580854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 342580854 is about 18508.9398399800. The cubic root of 342580854 is about 699.7147504434.

The spelling of 342580854 in words is "three hundred forty-two million, five hundred eighty thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 49 66 74 77 98 111 147 154 222 231 259 294 343 407 409 462 518 539 686 777 814 818 1029 1078 1221 1227 1554 1617 1813 2058 2442 2454 2849 2863 3234 3626 3773 4499 5439 5698 5726 7546 8547 8589 8998 10878 11319 12691 13497 15133 17094 17178 19943 20041 22638 25382 26994 30266 31493 38073 39886 40082 45399 59829 60123 62986 76146 90798 94479 105931 119658 120246 139601 140287 166463 188958 211862 220451 279202 280574 317793 332926 418803 420861 440902 499389 635586 661353 741517 837606 841722 998778 1165241 1322706 1483034 1543157 2224551 2330482 3086314 3495723 4449102 4629471 5190619 6991446 8156687 9258942 10381238 15571857 16313374 24470061 31143714 48940122 57096809 114193618 171290427 342580854