Search a number
-
+
274945944 = 233713312131
BaseRepresentation
bin10000011000110…
…101011110011000
3201011100200221010
4100120311132120
51030341232234
643141013520
76546000450
oct2030653630
9634320833
10274945944
11131221a59
12780b42a0
1344c68110
1428730d60
15192106e9
hex10635798

274945944 has 192 divisors, whose sum is σ = 880830720. Its totient is φ = 69638400.

The previous prime is 274945943. The next prime is 274945949. The reversal of 274945944 is 449549472.

It is a super-2 number, since 2×2749459442 = 151190544244102272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 274945893 and 274945902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274945943) 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 47 ways as a sum of consecutive naturals, for example, 2098759 + ... + 2098889.

It is an arithmetic number, because the mean of its divisors is an integer number (4587660).

Almost surely, 2274945944 is an apocalyptic number.

274945944 is a gapful number since it is divisible by the number (24) 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 274945944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440415360).

274945944 is an abundant number, since it is smaller than the sum of its proper divisors (605884776).

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

274945944 is a wasteful number, since it uses less digits than its factorization.

274945944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 274945944 is about 16581.4940219511. The cubic root of 274945944 is about 650.2531116813.

The spelling of 274945944 in words is "two hundred seventy-four million, nine hundred forty-five thousand, nine hundred forty-four".