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341345725504 = 2672104332
BaseRepresentation
bin1001111011110011100…
…10100110110001000000
31012122001222012111120221
410331321302212301000
521043034001204004
6420451223312424
733442602536200
oct4757162466100
91178058174527
10341345725504
11121844843883
12561a3bab714
132625b938a44
1412742334400
158d2c3b9354
hex4f79ca6c40

341345725504 has 63 divisors (see below), whose sum is σ = 788022504597. Its totient is φ = 146277003264.

The previous prime is 341345725499. The next prime is 341345725537. The reversal of 341345725504 is 405527543143.

The square root of 341345725504 is 584248.

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., 220486593600 + 120859131904 = 469560^2 + 347648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32712672 + ... + 32723104.

Almost surely, 2341345725504 is an apocalyptic number.

341345725504 is the 584248-th square number.

It is an amenable number.

341345725504 is an abundant number, since it is smaller than the sum of its proper divisors (446676779093).

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

341345725504 is an frugal number, since it uses more digits than its factorization.

341345725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 10442 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 43.

The spelling of 341345725504 in words is "three hundred forty-one billion, three hundred forty-five million, seven hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 10433 20866 41732 73031 83464 146062 166928 292124 333856 511217 584248 667712 1022434 1168496 2044868 2336992 4089736 4673984 8179472 16358944 32717888 108847489 217694978 435389956 761932423 870779912 1523864846 1741559824 3047729692 3483119648 5333526961 6095459384 6966239296 10667053922 12190918768 21334107844 24381837536 42668215688 48763675072 85336431376 170672862752 341345725504