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1734082340 = 225313677621
BaseRepresentation
bin110011101011011…
…1111111100100100
311110211222111202212
41213112333330210
512022411113330
6444023222552
760654312434
oct14726777444
94424874685
101734082340
1180a931801
124048a7a58
13218350733
141264382c4
15a2387295
hex675bff24

1734082340 has 48 divisors (see below), whose sum is σ = 3769780224. Its totient is φ = 669340800.

The previous prime is 1734082321. The next prime is 1734082351. The reversal of 1734082340 is 432804371.

It is a junction number, because it is equal to n+sod(n) for n = 1734082297 and 1734082306.

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, 223730 + ... + 231350.

It is an arithmetic number, because the mean of its divisors is an integer number (78537088).

Almost surely, 21734082340 is an apocalyptic number.

1734082340 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 1734082340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884890112).

1734082340 is an abundant number, since it is smaller than the sum of its proper divisors (2035697884).

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

1734082340 is a wasteful number, since it uses less digits than its factorization.

1734082340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 1734082340 is about 41642.3142968784. The cubic root of 1734082340 is about 1201.4063003630.

The spelling of 1734082340 in words is "one billion, seven hundred thirty-four million, eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 367 620 734 1468 1835 3670 7340 7621 11377 15242 22754 30484 38105 45508 56885 76210 113770 152420 227540 236251 472502 945004 1181255 2362510 2796907 4725020 5593814 11187628 13984535 27969070 55938140 86704117 173408234 346816468 433520585 867041170 1734082340