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1830134908 = 227271347379
BaseRepresentation
bin110110100010101…
…1010010001111100
311201112201111010101
41231011122101330
512222003304113
6501334050444
763231614200
oct15505322174
94645644111
101830134908
1185a077498
12430aa9a24
13232211584
141350bcb00
15aaa0c2dd
hex6d15a47c

1830134908 has 72 divisors (see below), whose sum is σ = 3798990720. Its totient is φ = 769033440.

The previous prime is 1830134899. The next prime is 1830134951. The reversal of 1830134908 is 8094310381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4828663 + ... + 4829041.

It is an arithmetic number, because the mean of its divisors is an integer number (52763760).

Almost surely, 21830134908 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 1830134908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899495360).

1830134908 is an abundant number, since it is smaller than the sum of its proper divisors (1968855812).

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

1830134908 is a wasteful number, since it uses less digits than its factorization.

1830134908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1830134908 is about 42780.0760635135. The cubic root of 1830134908 is about 1223.1912571915.

The spelling of 1830134908 in words is "one billion, eight hundred thirty million, one hundred thirty-four thousand, nine hundred eight".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 347 379 497 694 758 994 1388 1516 1988 2429 2653 3479 4858 5306 6958 9716 10612 13916 17003 18571 24637 26909 34006 37142 49274 53818 68012 74284 98548 107636 131513 172459 188363 263026 344918 376726 526052 689836 753452 920591 1207213 1318541 1841182 2414426 2637082 3682364 4828852 5274164 6444137 9337423 12888274 18674846 25776548 37349692 65361961 130723922 261447844 457533727 915067454 1830134908