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274075648 = 212711279
BaseRepresentation
bin10000010101100…
…001000000000000
3201002201111002221
4100111201000000
51030130410043
643110220424
76535414240
oct2025410000
9632644087
10274075648
11130788100
1277954714
1344a21c52
1428585b20
15190dc8ed
hex10561000

274075648 has 156 divisors (see below), whose sum is σ = 697217920. Its totient is φ = 105431040.

The previous prime is 274075643. The next prime is 274075651. The reversal of 274075648 is 846570472.

274075648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (274075643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3469273 + ... + 3469351.

Almost surely, 2274075648 is an apocalyptic number.

274075648 is a gapful number since it is divisible by the number (28) 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 274075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348608960).

274075648 is an abundant number, since it is smaller than the sum of its proper divisors (423142272).

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

274075648 is an equidigital number, since it uses as much as digits as its factorization.

274075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 274075648 is about 16555.2302309572. The cubic root of 274075648 is about 649.5662968755.

The spelling of 274075648 in words is "two hundred seventy-four million, seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 79 88 112 121 128 154 158 176 224 242 256 308 316 352 448 484 512 553 616 632 704 847 869 896 968 1024 1106 1232 1264 1408 1694 1738 1792 1936 2048 2212 2464 2528 2816 3388 3476 3584 3872 4096 4424 4928 5056 5632 6083 6776 6952 7168 7744 8848 9559 9856 10112 11264 12166 13552 13904 14336 15488 17696 19118 19712 20224 22528 24332 27104 27808 28672 30976 35392 38236 39424 40448 45056 48664 54208 55616 61952 66913 70784 76472 78848 80896 97328 108416 111232 123904 133826 141568 152944 157696 161792 194656 216832 222464 247808 267652 283136 305888 315392 323584 389312 433664 444928 495616 535304 566272 611776 778624 867328 889856 1070608 1132544 1223552 1557248 1734656 1779712 2141216 2265088 2447104 3114496 3469312 3559424 4282432 4894208 6228992 8564864 9788416 12457984 17129728 19576832 24915968 34259456 39153664 68518912 137037824 274075648