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345684026601 = 3223285212
BaseRepresentation
bin1010000011111000101…
…11111010010011101001
31020001021022111000220100
411001330113322103221
521130430102322401
6422445520220013
733655241513304
oct5017427722351
91201238430810
10345684026601
11123670691691
1256bb4a6a609
13267a0678704
1412a3458bb3b
158ed31b6b86
hex507c5fa4e9

345684026601 has 27 divisors (see below), whose sum is σ = 522036158007. Its totient is φ = 220410321120.

The previous prime is 345684026599. The next prime is 345684026627. The reversal of 345684026601 is 106620486543.

The square root of 345684026601 is 587949.

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

345684026601 is a `hidden beast` number, since 3 + 4 + 568 + 4 + 0 + 26 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167363628201 + 178320398400 = 409101^2 + 422280^2 .

It is not a de Polignac number, because 345684026601 - 21 = 345684026599 is a prime.

It is a super-2 number, since 2×3456840266012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345684026651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40564221 + ... + 40572741.

Almost surely, 2345684026601 is an apocalyptic number.

345684026601 is the 587949-th square number.

345684026601 is the 293975-th centered octagonal number.

It is an amenable number.

345684026601 is a deficient number, since it is larger than the sum of its proper divisors (176352131406).

345684026601 is an frugal number, since it uses more digits than its factorization.

345684026601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 345684026601 in words is "three hundred forty-five billion, six hundred eighty-four million, twenty-six thousand, six hundred one".

Divisors: 1 3 9 23 69 207 529 1587 4761 8521 25563 76689 195983 587949 1763847 4507609 13522827 40568481 72607441 217822323 653466969 1669971143 5009913429 15029740287 38409336289 115228008867 345684026601