Search a number
-
+
291485340 = 223253974079
BaseRepresentation
bin10001010111111…
…011011010011100
3202022110222201100
4101113323122130
51044110012330
644531313100
710136404326
oct2127733234
9668428640
10291485340
1113a599283
128174b790
1348509343
142a9d8616
151a8cb060
hex115fb69c

291485340 has 72 divisors (see below), whose sum is σ = 886616640. Its totient is φ = 77514624.

The previous prime is 291485339. The next prime is 291485353. The reversal of 291485340 is 43584192.

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

It is a junction number, because it is equal to n+sod(n) for n = 291485295 and 291485304.

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 23 ways as a sum of consecutive naturals, for example, 69421 + ... + 73499.

It is an arithmetic number, because the mean of its divisors is an integer number (12314120).

Almost surely, 2291485340 is an apocalyptic number.

291485340 is a gapful number since it is divisible by the number (20) 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 291485340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443308320).

291485340 is an abundant number, since it is smaller than the sum of its proper divisors (595131300).

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

291485340 is a wasteful number, since it uses less digits than its factorization.

291485340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 291485340 is about 17072.9417500324. The cubic root of 291485340 is about 663.0387425065.

The spelling of 291485340 in words is "two hundred ninety-one million, four hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2382 3573 3970 4079 4764 5955 7146 7940 8158 11910 12237 14292 16316 17865 20395 23820 24474 35730 36711 40790 48948 61185 71460 73422 81580 122370 146844 183555 244740 367110 734220 1619363 3238726 4858089 6477452 8096815 9716178 14574267 16193630 19432356 24290445 29148534 32387260 48580890 58297068 72871335 97161780 145742670 291485340