Search a number
-
+
830712348 = 22342563927
BaseRepresentation
bin110001100000111…
…010101000011100
32010220010120010000
4301200322220130
53200130243343
6214233014300
726404636614
oct6140725034
92126116100
10830712348
11396a08534
121b2254390
1310314718b
147c481a44
154cde1ed3
hex3183aa1c

830712348 has 30 divisors (see below), whose sum is σ = 2171647016. Its totient is φ = 276904008.

The previous prime is 830712343. The next prime is 830712349. The reversal of 830712348 is 843217038.

830712348 is a `hidden beast` number, since 8 + 307 + 1 + 2 + 348 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830712343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1281640 + ... + 1282287.

Almost surely, 2830712348 is an apocalyptic number.

It is an amenable number.

830712348 is an abundant number, since it is smaller than the sum of its proper divisors (1340934668).

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

830712348 is a wasteful number, since it uses less digits than its factorization.

830712348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563943 (or 2563932 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 830712348 is about 28822.0809103021. The cubic root of 830712348 is about 940.0484160968.

The spelling of 830712348 in words is "eight hundred thirty million, seven hundred twelve thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2563927 5127854 7691781 10255708 15383562 23075343 30767124 46150686 69226029 92301372 138452058 207678087 276904116 415356174 830712348