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34844073420 = 223513421106109
BaseRepresentation
bin100000011100110111…
…100101110111001100
310022221100021022212210
4200130313211313030
51032330040322140
624001313230420
72342316510612
oct403467456714
9108840238783
1034844073420
11138606310a2
126905262410
133393b2b330
14198791b6b2
15d8e02ed80
hex81cde5dcc

34844073420 has 96 divisors (see below), whose sum is σ = 105318843840. Its totient is φ = 8556549120.

The previous prime is 34844073401. The next prime is 34844073421. The reversal of 34844073420 is 2437044843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (34844073421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275326 + ... + 381434.

It is an arithmetic number, because the mean of its divisors is an integer number (1097071290).

Almost surely, 234844073420 is an apocalyptic number.

34844073420 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 34844073420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52659421920).

34844073420 is an abundant number, since it is smaller than the sum of its proper divisors (70474770420).

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

34844073420 is a wasteful number, since it uses less digits than its factorization.

34844073420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106555 (or 106553 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 34844073420 in words is "thirty-four billion, eight hundred forty-four million, seventy-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 421 780 842 1263 1684 2105 2526 4210 5052 5473 6315 8420 10946 12630 16419 21892 25260 27365 32838 54730 65676 82095 106109 109460 164190 212218 318327 328380 424436 530545 636654 1061090 1273308 1379417 1591635 2122180 2758834 3183270 4138251 5517668 6366540 6897085 8276502 13794170 16553004 20691255 27588340 41382510 44671889 82765020 89343778 134015667 178687556 223359445 268031334 446718890 536062668 580734557 670078335 893437780 1161469114 1340156670 1742203671 2322938228 2680313340 2903672785 3484407342 5807345570 6968814684 8711018355 11614691140 17422036710 34844073420