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349008318738 = 232411687128031
BaseRepresentation
bin1010001010000101000…
…01000101000100010010
31020100211222201120102100
411011002201011010102
521204232112144423
6424155431301230
734133515522152
oct5050241050422
91210758646370
10349008318738
11125017108562
125778221a816
1326bb02b4991
1412c6bc8c762
159129e67343
hex5142845112

349008318738 has 48 divisors (see below), whose sum is σ = 774701770752. Its totient is φ = 113487864000.

The previous prime is 349008318677. The next prime is 349008318781. The reversal of 349008318738 is 837813800943.

349008318738 is a `hidden beast` number, since 3 + 490 + 0 + 83 + 1 + 8 + 73 + 8 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12436783 + ... + 12464813.

It is an arithmetic number, because the mean of its divisors is an integer number (16139620224).

Almost surely, 2349008318738 is an apocalyptic number.

349008318738 is an abundant number, since it is smaller than the sum of its proper divisors (425693452014).

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

349008318738 is a wasteful number, since it uses less digits than its factorization.

349008318738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44951 (or 44948 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 349008318738 in words is "three hundred forty-nine billion, eight million, three hundred eighteen thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 16871 28031 33742 50613 56062 84093 101226 151839 168186 252279 303678 504558 691711 1149271 1383422 2075133 2298542 3447813 4150266 6225399 6895626 10343439 12450798 20686878 472911001 945822002 1418733003 2837466006 4256199009 8512398018 19389351041 38778702082 58168053123 116336106246 174504159369 349008318738