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342742163760 = 243251297936677
BaseRepresentation
bin1001111110011010000…
…01100110000100110000
31012202200021211220202100
410333031001212010300
521103413443220020
6421241550020400
733522320215563
oct4771501460460
91182607756670
10342742163760
111223a101a587
12565137a7700
132642203b279
141283599a4da
158daeca8a90
hex4fcd066130

342742163760 has 120 divisors (see below), whose sum is σ = 1151162503920. Its totient is φ = 91388376576.

The previous prime is 342742163759. The next prime is 342742163779. The reversal of 342742163760 is 67361247243.

342742163760 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 4 + 2 + 1 + 637 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9326542 + ... + 9363218.

It is an arithmetic number, because the mean of its divisors is an integer number (9593020866).

Almost surely, 2342742163760 is an apocalyptic number.

342742163760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342742163760 is an abundant number, since it is smaller than the sum of its proper divisors (808420340160).

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

342742163760 is a wasteful number, since it uses less digits than its factorization.

342742163760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49675 (or 49666 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 342742163760 in words is "three hundred forty-two billion, seven hundred forty-two million, one hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 12979 25958 36677 38937 51916 64895 73354 77874 103832 110031 116811 129790 146708 155748 183385 194685 207664 220062 233622 259580 293416 311496 330093 366770 389370 440124 467244 519160 550155 584055 586832 622992 660186 733540 778740 880248 934488 1038320 1100310 1168110 1320372 1467080 1557480 1650465 1760496 1868976 2200620 2336220 2640744 2934160 3114960 3300930 4401240 4672440 5281488 6601860 8802480 9344880 13203720 26407440 476030783 952061566 1428092349 1904123132 2380153915 2856184698 3808246264 4284277047 4760307830 5712369396 7140461745 7616492528 8568554094 9520615660 11424738792 14280923490 17137108188 19041231320 21421385235 22849477584 28561846980 34274216376 38082462640 42842770470 57123693960 68548432752 85685540940 114247387920 171371081880 342742163760