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272669328 = 243697241
BaseRepresentation
bin10000010000001…
…001101010010000
3201000002001000000
4100100021222100
51024300404303
643020130000
76520436211
oct2020115220
9630061000
10272669328
1112aa07558
1277396900
134464bac9
14282db408
1518e10da3
hex10409a90

272669328 has 140 divisors (see below), whose sum is σ = 803569228. Its totient is φ = 89579520.

The previous prime is 272669269. The next prime is 272669357. The reversal of 272669328 is 823966272.

It can be written as a sum of positive squares in 2 ways, for example, as 165173904 + 107495424 = 12852^2 + 10368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1131288 + ... + 1131528.

Almost surely, 2272669328 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 272669328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401784614).

272669328 is an abundant number, since it is smaller than the sum of its proper divisors (530899900).

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

272669328 is an equidigital number, since it uses as much as digits as its factorization.

272669328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 272669328 is about 16512.7020199603. The cubic root of 272669328 is about 648.4533864087.

The spelling of 272669328 in words is "two hundred seventy-two million, six hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 241 243 291 324 388 432 482 486 582 648 723 729 776 873 964 972 1164 1296 1446 1458 1552 1746 1928 1944 2169 2328 2619 2892 2916 3492 3856 3888 4338 4656 5238 5784 5832 6507 6984 7857 8676 10476 11568 11664 13014 13968 15714 17352 19521 20952 23377 23571 26028 31428 34704 39042 41904 46754 47142 52056 58563 62856 70131 70713 78084 93508 94284 104112 117126 125712 140262 141426 156168 175689 187016 188568 210393 234252 280524 282852 312336 351378 374032 377136 420786 468504 561048 565704 631179 702756 841572 937008 1122096 1131408 1262358 1405512 1683144 1893537 2524716 2811024 3366288 3787074 5049432 5680611 7574148 10098864 11361222 15148296 17041833 22722444 30296592 34083666 45444888 68167332 90889776 136334664 272669328