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1834655440 = 245139164987
BaseRepresentation
bin110110101011010…
…1001111011010000
311201212020011010111
41231112221323100
512224132433230
6502015011104
763315212452
oct15526517320
94655204114
101834655440
11861684872
12432509a94
13233135047
141359382d2
15ab10192a
hex6d5a9ed0

1834655440 has 40 divisors (see below), whose sum is σ = 4296287520. Its totient is φ = 728578176.

The previous prime is 1834655437. The next prime is 1834655461. The reversal of 1834655440 is 445564381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 1834655393 and 1834655402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71374 + ... + 93613.

It is an arithmetic number, because the mean of its divisors is an integer number (107407188).

Almost surely, 21834655440 is an apocalyptic number.

1834655440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1834655440 is an abundant number, since it is smaller than the sum of its proper divisors (2461632080).

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

1834655440 is a wasteful number, since it uses less digits than its factorization.

1834655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165139 (or 165133 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 1834655440 is about 42832.8780261145. The cubic root of 1834655440 is about 1224.1975452585.

The spelling of 1834655440 in words is "one billion, eight hundred thirty-four million, six hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 164987 329974 659948 824935 1319896 1649870 2639792 3299740 6599480 13198960 22933193 45866386 91732772 114665965 183465544 229331930 366931088 458663860 917327720 1834655440