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34828973140 = 22513236786929
BaseRepresentation
bin100000011011111101…
…111111010001010100
310022220021212011012011
4200123331333101110
51032312204120030
624000013434004
72342044246513
oct403375772124
9108807764164
1034828973140
1113853058025
12690019b904
133390972160
14198590a67a
15d8ca4ab2a
hex81bf7f454

34828973140 has 96 divisors (see below), whose sum is σ = 83419418880. Its totient is φ = 12117067776.

The previous prime is 34828973129. The next prime is 34828973147. The reversal of 34828973140 is 4137982843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34828973147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357196 + ... + 444124.

It is an arithmetic number, because the mean of its divisors is an integer number (868952280).

Almost surely, 234828973140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34828973140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41709709440).

34828973140 is an abundant number, since it is smaller than the sum of its proper divisors (48590445740).

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

34828973140 is a wasteful number, since it uses less digits than its factorization.

34828973140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87041 (or 87039 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 34828973140 in words is "thirty-four billion, eight hundred twenty-eight million, nine hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 67 92 115 130 134 230 260 268 299 335 460 598 670 871 1196 1340 1495 1541 1742 2990 3082 3484 4355 5980 6164 7705 8710 15410 17420 20033 30820 40066 80132 86929 100165 173858 200330 347716 400660 434645 869290 1130077 1738580 1999367 2260154 3998734 4520308 5650385 5824243 7997468 9996835 11300770 11648486 19993670 22601540 23296972 25991771 29121215 39987340 51983542 58242430 75715159 103967084 116484860 129958855 133957589 151430318 259917710 267915178 302860636 378575795 519835420 535830356 669787945 757151590 1339575890 1514303180 1741448657 2679151780 3482897314 6965794628 8707243285 17414486570 34828973140