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274390272 = 2832139161
BaseRepresentation
bin10000010110101…
…101110100000000
3201010022110200200
4100112231310000
51030220442042
643121045200
76541164432
oct2026556400
9633273620
10274390272
11130982522
1277a86800
1344b02210
1428628652
1519150c4c
hex105add00

274390272 has 108 divisors (see below), whose sum is σ = 852084324. Its totient is φ = 84418560.

The previous prime is 274390271. The next prime is 274390279. The reversal of 274390272 is 272093472.

It can be written as a sum of positive squares in 2 ways, for example, as 64256256 + 210134016 = 8016^2 + 14496^2 .

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 (274390271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25372 + ... + 34532.

Almost surely, 2274390272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426042162).

274390272 is an abundant number, since it is smaller than the sum of its proper divisors (577694052).

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

274390272 is a wasteful number, since it uses less digits than its factorization.

274390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 274390272 is about 16564.7297593411. The cubic root of 274390272 is about 649.8147574694.

The spelling of 274390272 in words is "two hundred seventy-four million, three hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9161 9984 14976 18322 27483 29952 36644 54966 73288 82449 109932 119093 146576 164898 219864 238186 293152 329796 357279 439728 476372 586304 659592 714558 879456 952744 1071837 1172608 1319184 1429116 1758912 1905488 2143674 2345216 2638368 2858232 3517824 3810976 4287348 5276736 5716464 7035648 7621952 8574696 10553472 11432928 15243904 17149392 21106944 22865856 30487808 34298784 45731712 68597568 91463424 137195136 274390272