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274385280 = 27351310993
BaseRepresentation
bin10000010110101…
…100100110000000
3201010022012211210
4100112230212000
51030220312110
643121010120
76541144041
oct2026544600
9633265753
10274385280
111309797a4
1277a83940
1344accb70
14286268c8
151914e520
hex105ac980

274385280 has 128 divisors (see below), whose sum is σ = 941965920. Its totient is φ = 67534848.

The previous prime is 274385263. The next prime is 274385291. The reversal of 274385280 is 82583472.

274385280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 19464 + ... + 30456.

Almost surely, 2274385280 is an apocalyptic number.

274385280 is a gapful number since it is divisible by the number (20) 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 274385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470982960).

274385280 is an abundant number, since it is smaller than the sum of its proper divisors (667580640).

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

274385280 is a wasteful number, since it uses less digits than its factorization.

274385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 274385280 is about 16564.5790770548. The cubic root of 274385280 is about 649.8108167382.

The spelling of 274385280 in words is "two hundred seventy-four million, three hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 10993 12480 21986 24960 32979 43972 54965 65958 87944 109930 131916 142909 164895 175888 219860 263832 285818 329790 351776 428727 439720 527664 571636 659580 703552 714545 857454 879440 1055328 1143272 1319160 1407104 1429090 1714908 1758880 2110656 2143635 2286544 2638320 2858180 3429816 3517760 4221312 4287270 4573088 5276640 5716360 6859632 7035520 8574540 9146176 10553280 11432720 13719264 17149080 18292352 21106560 22865440 27438528 34298160 45730880 54877056 68596320 91461760 137192640 274385280