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34376770540 = 22574323923893
BaseRepresentation
bin100000000001000000…
…111110001111101100
310021201202221212211201
4200001000332033230
51030400423124130
623443101255244
72324613504550
oct400100761754
9107652855751
1034376770540
1113640877572
1267b4864524
13331b083a58
141941837860
15d62ec4bca
hex80103e3ec

34376770540 has 96 divisors (see below), whose sum is σ = 84779735040. Its totient is φ = 11463572736.

The previous prime is 34376770453. The next prime is 34376770543. The reversal of 34376770540 is 4507767343.

It is not an unprimeable number, because it can be changed into a prime (34376770543) 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, 1426834 + ... + 1450726.

It is an arithmetic number, because the mean of its divisors is an integer number (883122240).

Almost surely, 234376770540 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 34376770540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42389867520).

34376770540 is an abundant number, since it is smaller than the sum of its proper divisors (50402964500).

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

34376770540 is a wasteful number, since it uses less digits than its factorization.

34376770540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24191 (or 24189 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 46.

The spelling of 34376770540 in words is "thirty-four billion, three hundred seventy-six million, seven hundred seventy thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 239 301 430 478 602 860 956 1195 1204 1505 1673 2390 3010 3346 4780 6020 6692 8365 10277 16730 20554 23893 33460 41108 47786 51385 71939 95572 102770 119465 143878 167251 205540 238930 287756 334502 359695 477860 669004 719390 836255 1027399 1438780 1672510 2054798 3345020 4109596 5136995 5710427 7191793 10273990 11420854 14383586 20547980 22841708 28552135 28767172 35958965 39972989 57104270 71917930 79945978 114208540 143835860 159891956 199864945 245548361 399729890 491096722 799459780 982193444 1227741805 1718838527 2455483610 3437677054 4910967220 6875354108 8594192635 17188385270 34376770540