Search a number
-
+
1830017934 = 2356161729
BaseRepresentation
bin110110100010011…
…1101101110001110
311201112111112200000
41231010331232032
512221441033214
6501331345130
763230616153
oct15504755616
94645445600
101830017934
11859aa7618
12430a521a6
132321a0264
1413508c22a
15aa9d7809
hex6d13db8e

1830017934 has 48 divisors (see below), whose sum is σ = 4179367920. Its totient is φ = 599996160.

The previous prime is 1830017933. The next prime is 1830017939. The reversal of 1830017934 is 4397100381.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830017933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 60510.

It is an arithmetic number, because the mean of its divisors is an integer number (87070165).

Almost surely, 21830017934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830017934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089683960).

1830017934 is an abundant number, since it is smaller than the sum of its proper divisors (2349349986).

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

1830017934 is an equidigital number, since it uses as much as digits as its factorization.

1830017934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61807 (or 61795 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1830017934 is about 42778.7088865478. The cubic root of 1830017934 is about 1223.1651963400.

The spelling of 1830017934 in words is "one billion, eight hundred thirty million, seventeen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 486 549 1098 1647 3294 4941 9882 14823 29646 61729 123458 185187 370374 555561 1111122 1666683 3333366 3765469 5000049 7530938 10000098 11296407 15000147 22592814 30000294 33889221 67778442 101667663 203335326 305002989 610005978 915008967 1830017934