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34731776214 = 2334724156783
BaseRepresentation
bin100000010110001011…
…001101100011010110
310022122111222001002000
4200112023031203112
51032112313314324
623542222300130
72336454140532
oct402613154326
9108574861060
1034731776214
1113803200593
126893727646
1333767a0495
141976a48bc2
15d8424b9c9
hex8162cd8d6

34731776214 has 64 divisors (see below), whose sum is σ = 79152353280. Its totient is φ = 11283719040.

The previous prime is 34731776179. The next prime is 34731776243. The reversal of 34731776214 is 41267713743.

It is a happy number.

34731776214 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 17 + 7 + 621 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34731776214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583267 + ... + 640049.

It is an arithmetic number, because the mean of its divisors is an integer number (1236755520).

Almost surely, 234731776214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34731776214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39576176640).

34731776214 is an abundant number, since it is smaller than the sum of its proper divisors (44420577066).

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

34731776214 is a wasteful number, since it uses less digits than its factorization.

34731776214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57082 (or 57076 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 34731776214 in words is "thirty-four billion, seven hundred thirty-one million, seven hundred seventy-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 241 282 423 482 723 846 1269 1446 2169 2538 4338 6507 11327 13014 22654 33981 56783 67962 101943 113566 170349 203886 305829 340698 511047 611658 1022094 1533141 2668801 3066282 5337602 8006403 13684703 16012806 24019209 27369406 41054109 48038418 72057627 82108218 123162327 144115254 246324654 369486981 643181041 738973962 1286362082 1929543123 3859086246 5788629369 11577258738 17365888107 34731776214