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342720088929 = 3429222432
BaseRepresentation
bin1001111110010111011…
…01011000101101100001
31012202121202022101210000
410333023231120231201
521103342320321204
6421235440530213
733521631455511
oct4771355305541
91182552271700
10342720088929
1112238a612419
1256508320969
132641a5ac63a
1412832a91841
158dacd98039
hex4fcbb58b61

342720088929 has 45 divisors (see below), whose sum is σ = 530463782563. Its totient is φ = 220503085488.

The previous prime is 342720088903. The next prime is 342720088937. The reversal of 342720088929 is 929880027243.

It is a happy number.

The square root of 342720088929 is 585423.

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

342720088929 is a `hidden beast` number, since 3 + 427 + 200 + 8 + 8 + 9 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179714101329 + 163005987600 = 423927^2 + 403740^2 .

It is not a de Polignac number, because 342720088929 - 211 = 342720086881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342720088129) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 152794282 + ... + 152796524.

Almost surely, 2342720088929 is an apocalyptic number.

342720088929 is the 585423-rd square number.

342720088929 is the 292712-nd centered octagonal number.

It is an amenable number.

342720088929 is a deficient number, since it is larger than the sum of its proper divisors (187743693634).

342720088929 is an frugal number, since it uses more digits than its factorization.

342720088929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 342720088929 in words is "three hundred forty-two billion, seven hundred twenty million, eighty-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 29 81 87 261 783 841 2243 2349 2523 6729 7569 20187 22707 60561 65047 68121 181683 195141 585423 1756269 1886363 5031049 5268807 5659089 15093147 16977267 45279441 50931801 135838323 145900421 152795403 407514969 437701263 1313103789 3939311367 4231112209 11817934101 12693336627 38080009881 114240029643 342720088929