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342536880 = 24357533847
BaseRepresentation
bin10100011010101…
…011001010110000
3212212112200021010
4110122223022300
51200142140010
653553430520
711326341540
oct2432531260
9785480233
10342536880
11166398034
129686b440
1355c7225a
14336c7320
1520112620
hex146ab2b0

342536880 has 160 divisors (see below), whose sum is σ = 1236777984. Its totient is φ = 76796928.

The previous prime is 342536879. The next prime is 342536923. The reversal of 342536880 is 88635243.

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 31 ways as a sum of consecutive naturals, for example, 87117 + ... + 90963.

Almost surely, 2342536880 is an apocalyptic number.

342536880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618388992).

342536880 is an abundant number, since it is smaller than the sum of its proper divisors (894241104).

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

342536880 is a wasteful number, since it uses less digits than its factorization.

342536880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 342536880 is about 18507.7518894111. The cubic root of 342536880 is about 699.6848104816.

The spelling of 342536880 in words is "three hundred forty-two million, five hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 3847 4240 4452 5565 5936 6360 7420 7694 8904 11130 11541 12720 14840 15388 17808 19235 22260 23082 26929 29680 30776 38470 44520 46164 53858 57705 61552 76940 80787 89040 92328 107716 115410 134645 153880 161574 184656 203891 215432 230820 269290 307760 323148 403935 407782 430864 461640 538580 611673 646296 807870 815564 923280 1019455 1077160 1223346 1292592 1427237 1615740 1631128 2038910 2154320 2446692 2854474 3058365 3231480 3262256 4077820 4281711 4893384 5708948 6116730 6462960 7136185 8155640 8563422 9786768 11417896 12233460 14272370 16311280 17126844 21408555 22835792 24466920 28544740 34253688 42817110 48933840 57089480 68507376 85634220 114178960 171268440 342536880