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1834028880 = 243521136217
BaseRepresentation
bin110110101010001…
…0000111101010000
311201211001022122120
41231110100331100
512224002411010
6501553334240
763306662655
oct15524207520
94654038576
101834028880
11861297052
12432267380
13232c75ab8
14135813c2c
15ab02ae70
hex6d510f50

1834028880 has 80 divisors (see below), whose sum is σ = 5712592704. Its totient is φ = 486743040.

The previous prime is 1834028869. The next prime is 1834028891. The reversal of 1834028880 is 888204381.

It is an interprime number because it is at equal distance from previous prime (1834028869) and next prime (1834028891).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32532 + ... + 68748.

Almost surely, 21834028880 is an apocalyptic number.

1834028880 is a gapful number since it is divisible by the number (10) 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 1834028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856296352).

1834028880 is an abundant number, since it is smaller than the sum of its proper divisors (3878563824).

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

1834028880 is a wasteful number, since it uses less digits than its factorization.

1834028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36444 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1834028880 is about 42825.5633938422. The cubic root of 1834028880 is about 1224.0581693061.

The spelling of 1834028880 in words is "one billion, eight hundred thirty-four million, twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 8440 10128 12660 16880 25320 36217 50640 72434 108651 144868 181085 217302 289736 362170 434604 543255 579472 724340 869208 1086510 1448680 1738416 2173020 2897360 4346040 7641787 8692080 15283574 22925361 30567148 38208935 45850722 61134296 76417870 91701444 114626805 122268592 152835740 183402888 229253610 305671480 366805776 458507220 611342960 917014440 1834028880