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274630272 = 2737711439
BaseRepresentation
bin10000010111101…
…000011010000000
3201010202122220120
4100113220122000
51030301132042
643130140240
76543214230
oct2027503200
9633678816
10274630272
11131026874
1277b81680
1344b87527
142868bcc0
151919bdec
hex105e8680

274630272 has 128 divisors (see below), whose sum is σ = 846028800. Its totient is φ = 77306880.

The previous prime is 274630267. The next prime is 274630283. The reversal of 274630272 is 272036472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190129 + ... + 191567.

It is an arithmetic number, because the mean of its divisors is an integer number (6609600).

Almost surely, 2274630272 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 274630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

274630272 is an abundant number, since it is smaller than the sum of its proper divisors (571398528).

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

274630272 is a wasteful number, since it uses less digits than its factorization.

274630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 274630272 is about 16571.9724836846. The cubic root of 274630272 is about 650.0041593422.

The spelling of 274630272 in words is "two hundred seventy-four million, six hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 128 142 168 192 213 224 284 336 384 426 448 497 568 672 852 896 994 1136 1344 1439 1491 1704 1988 2272 2688 2878 2982 3408 3976 4317 4544 5756 5964 6816 7952 8634 9088 10073 11512 11928 13632 15904 17268 20146 23024 23856 27264 30219 31808 34536 40292 46048 47712 60438 63616 69072 80584 92096 95424 102169 120876 138144 161168 184192 190848 204338 241752 276288 306507 322336 408676 483504 552576 613014 644672 715183 817352 967008 1226028 1289344 1430366 1634704 1934016 2145549 2452056 2860732 3269408 3868032 4291098 4904112 5721464 6538816 8582196 9808224 11442928 13077632 17164392 19616448 22885856 34328784 39232896 45771712 68657568 91543424 137315136 274630272