Search a number
-
+
345423748705 = 57436118712011
BaseRepresentation
bin1010000011011001101…
…11000001111001100001
31020000121011201112202021
411001230313001321201
521124411434424310
6422404021421441
733645631263520
oct5015467017141
91200534645667
10345423748705
11123547778a92
1256b4186a881
132675b777b19
1412a0bb984b7
158eba4025da
hex506cdc1e61

345423748705 has 64 divisors (see below), whose sum is σ = 493195862016. Its totient is φ = 227326176000.

The previous prime is 345423748693. The next prime is 345423748717. The reversal of 345423748705 is 507847324543.

It is an interprime number because it is at equal distance from previous prime (345423748693) and next prime (345423748717).

It is not a de Polignac number, because 345423748705 - 25 = 345423748673 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171766150 + ... + 171768160.

It is an arithmetic number, because the mean of its divisors is an integer number (7706185344).

Almost surely, 2345423748705 is an apocalyptic number.

345423748705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345423748705 is a deficient number, since it is larger than the sum of its proper divisors (147772113311).

345423748705 is a wasteful number, since it uses less digits than its factorization.

345423748705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998.

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 345423748705 in words is "three hundred forty-five billion, four hundred twenty-three million, seven hundred forty-eight thousand, seven hundred five".

Divisors: 1 5 7 35 43 61 215 301 305 427 1505 1871 2011 2135 2623 9355 10055 13097 13115 14077 18361 65485 70385 80453 86473 91805 114131 122671 402265 432365 563171 570655 605311 613355 798917 858697 2815855 3026555 3762581 3994585 4293485 4907633 5274853 18812905 24538165 26338067 26374265 34353431 36923971 131690335 161790983 171767155 184619855 229517441 808954915 1132536881 1147587205 1606622087 5662684405 8033110435 9869249963 49346249815 69084749741 345423748705