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6834555400 = 2352157217661
BaseRepresentation
bin1100101110101111…
…10000101000001000
3122122022102101110111
412113113300220020
5102444121233100
63050104124104
7331236522331
oct62727605010
918568371414
106834555400
112997a236a2
1213a8a66634
1384bc5a22a
1448b9b1288
152a00386ba
hex1975f0a08

6834555400 has 48 divisors (see below), whose sum is σ = 15991627140. Its totient is φ = 2716396800.

The previous prime is 6834555397. The next prime is 6834555439. The reversal of 6834555400 is 45554386.

It can be written as a sum of positive squares in 6 ways, for example, as 1753431876 + 5081123524 = 41874^2 + 71282^2 .

It is a super-2 number, since 2×68345554002 = 93422295031338320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77431 + ... + 140230.

Almost surely, 26834555400 is an apocalyptic number.

It is an amenable number.

6834555400 is an abundant number, since it is smaller than the sum of its proper divisors (9157071740).

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

6834555400 is a wasteful number, since it uses less digits than its factorization.

6834555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217834 (or 217825 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The square root of 6834555400 is about 82671.3698930893. The cubic root of 6834555400 is about 1897.7401942035.

The spelling of 6834555400 in words is "six billion, eight hundred thirty-four million, five hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 217661 435322 870644 1088305 1741288 2176610 4353220 5441525 8706440 10883050 21766100 34172777 43532200 68345554 136691108 170863885 273382216 341727770 683455540 854319425 1366911080 1708638850 3417277700 6834555400