[go: up one dir, main page]

Search a number
-
+
274203072 = 263211133329
BaseRepresentation
bin10000010110000…
…000000111000000
3201002221221220100
4100112000013000
51030143444242
643113042400
76536454603
oct2026000700
9632857810
10274203072
11130864910
12779b6400
1344a67c50
14285ba33a
151911554c
hex105801c0

274203072 has 168 divisors, whose sum is σ = 923635440. Its totient is φ = 76677120.

The previous prime is 274203067. The next prime is 274203073. The reversal of 274203072 is 270302472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274203073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80704 + ... + 84032.

It is an arithmetic number, because the mean of its divisors is an integer number (5497830).

Almost surely, 2274203072 is an apocalyptic number.

274203072 is a gapful number since it is divisible by the number (22) 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 274203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461817720).

274203072 is an abundant number, since it is smaller than the sum of its proper divisors (649432368).

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

274203072 is a wasteful number, since it uses less digits than its factorization.

274203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 274203072 is about 16559.0782352159. The cubic root of 274203072 is about 649.6669473254. Note that the first 3 decimals are identical.

The spelling of 274203072 in words is "two hundred seventy-four million, two hundred three thousand, seventy-two".