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270668304 = 24344572
BaseRepresentation
bin10000001000100…
…001001000010000
3200212022101010000
4100020201020100
51023242341204
642505210000
76464433264
oct2010411020
9625271100
10270668304
11129870115
1276790900
13440cb07a
1427d3a0a4
1518b68039
hex10221210

270668304 has 75 divisors (see below), whose sum is σ = 785110557. Its totient is φ = 90025344.

The previous prime is 270668287. The next prime is 270668329. The reversal of 270668304 is 403866072.

The square root of 270668304 is 16452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 234090000 + 36578304 = 15300^2 + 6048^2 .

It is a super-2 number, since 2×2706683042 = 146522661580472832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 592044 + ... + 592500.

Almost surely, 2270668304 is an apocalyptic number.

270668304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

270668304 is the 16452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270668304

270668304 is an abundant number, since it is smaller than the sum of its proper divisors (514442253).

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

270668304 is an frugal number, since it uses more digits than its factorization.

270668304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 270668304 is about 646.8632333083.

Multiplying 270668304 by its sum of digits (36), we get a square (9744058944 = 987122).

270668304 divided by its sum of digits (36) gives a square (7518564 = 27422).

The spelling of 270668304 in words is "two hundred seventy million, six hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 457 648 914 1296 1371 1828 2742 3656 4113 5484 7312 8226 10968 12339 16452 21936 24678 32904 37017 49356 65808 74034 98712 148068 197424 208849 296136 417698 592272 626547 835396 1253094 1670792 1879641 2506188 3341584 3759282 5012376 5638923 7518564 10024752 11277846 15037128 16916769 22555692 30074256 33833538 45111384 67667076 90222768 135334152 270668304