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348030383280 = 243510314078899
BaseRepresentation
bin1010001000010000011…
…10100011010010110000
31020021022211120022011120
411010020032203102300
521200231234231110
6423514414542240
734100342306316
oct5041016432260
91207284508146
10348030383280
11124665095138
125754a807980
1326a85801848
1412bb80460b6
1590be193870
hex51083a34b0

348030383280 has 80 divisors (see below), whose sum is σ = 1089368966400. Its totient is φ = 91907046144.

The previous prime is 348030383131. The next prime is 348030383293. The reversal of 348030383280 is 82383030843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3480303832802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7014730 + ... + 7064169.

It is an arithmetic number, because the mean of its divisors is an integer number (13617112080).

Almost surely, 2348030383280 is an apocalyptic number.

348030383280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348030383280 is an abundant number, since it is smaller than the sum of its proper divisors (741338583120).

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

348030383280 is a wasteful number, since it uses less digits than its factorization.

348030383280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14079018 (or 14079012 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 348030383280 in words is "three hundred forty-eight billion, thirty million, three hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 14078899 28157798 42236697 56315596 70394495 84473394 112631192 140788990 168946788 211183485 225262384 281577980 337893576 422366970 563155960 675787152 844733940 1126311920 1450126597 1689467880 2900253194 3378935760 4350379791 5800506388 7250632985 8700759582 11601012776 14501265970 17401519164 21751898955 23202025552 29002531940 34803038328 43503797910 58005063880 69606076656 87007595820 116010127760 174015191640 348030383280