Search a number
-
+
345323980008 = 23327685166627
BaseRepresentation
bin1010000011001101110…
…10011100010011101000
31020000100012222202211100
411001212322130103220
521124210414330013
6422350055201400
733643310253630
oct5014672342350
91200305882740
10345323980008
111234a6425317
1256b14376260
1326743bb56a7
14129dc8276c0
158eb1796473
hex5066e9c4e8

345323980008 has 48 divisors (see below), whose sum is σ = 1068859939680. Its totient is φ = 98663994144.

The previous prime is 345323980003. The next prime is 345323980031. The reversal of 345323980008 is 800089323543.

345323980008 is a `hidden beast` number, since 3 + 4 + 532 + 39 + 80 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (345323980003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342582810 + ... + 342583817.

It is an arithmetic number, because the mean of its divisors is an integer number (22267915410).

Almost surely, 2345323980008 is an apocalyptic number.

It is an amenable number.

345323980008 is an abundant number, since it is smaller than the sum of its proper divisors (723535959672).

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

345323980008 is a wasteful number, since it uses less digits than its factorization.

345323980008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685166646 (or 685166639 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 345323980008 in words is "three hundred forty-five billion, three hundred twenty-three million, nine hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 685166627 1370333254 2055499881 2740666508 4110999762 4796166389 5481333016 6166499643 8221999524 9592332778 12332999286 14388499167 16443999048 19184665556 24665998572 28776998334 38369331112 43165497501 49331997144 57553996668 86330995002 115107993336 172661990004 345323980008