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274190336 = 212773131
BaseRepresentation
bin10000010101111…
…101000000000000
3201002221022102122
4100111331000000
51030143042321
643112503412
76536402510
oct2025750000
9632838378
10274190336
11130856292
12779aab68
1344a62204
14285b5840
15191118ab
hex1057d000

274190336 has 104 divisors (see below), whose sum is σ = 640077504. Its totient is φ = 115015680.

The previous prime is 274190321. The next prime is 274190347. The reversal of 274190336 is 633091472.

It is a junction number, because it is equal to n+sod(n) for n = 274190296 and 274190305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2092991 + ... + 2093121.

Almost surely, 2274190336 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 274190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320038752).

274190336 is an abundant number, since it is smaller than the sum of its proper divisors (365887168).

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

274190336 is an equidigital number, since it uses as much as digits as its factorization.

274190336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 274190336 is about 16558.6936682819. The cubic root of 274190336 is about 649.6568887384.

The spelling of 274190336 in words is "two hundred seventy-four million, one hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 131 146 224 256 262 292 448 511 512 524 584 896 917 1022 1024 1048 1168 1792 1834 2044 2048 2096 2336 3584 3668 4088 4096 4192 4672 7168 7336 8176 8384 9344 9563 14336 14672 16352 16768 18688 19126 28672 29344 32704 33536 37376 38252 58688 65408 66941 67072 74752 76504 117376 130816 133882 134144 149504 153008 234752 261632 267764 268288 299008 306016 469504 523264 535528 536576 612032 939008 1046528 1071056 1224064 1878016 2093056 2142112 2448128 3756032 4284224 4896256 8568448 9792512 17136896 19585024 34273792 39170048 68547584 137095168 274190336