Search a number
-
+
345905747320 = 23572574806917
BaseRepresentation
bin1010000100010011001…
…01101101010101111000
31020001211202200121112211
411002021211231111320
521131403332403240
6422523520344504
733663603224350
oct5021145552570
91201752617484
10345905747320
1112377485a751
1257057175134
13268075993c3
1412a55bc5b60
158ee78b1bea
hex508996d578

345905747320 has 64 divisors (see below), whose sum is σ = 892933087680. Its totient is φ = 118134767616.

The previous prime is 345905747261. The next prime is 345905747321. The reversal of 345905747320 is 23747509543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345905747321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2331499 + ... + 2475418.

It is an arithmetic number, because the mean of its divisors is an integer number (13952079495).

Almost surely, 2345905747320 is an apocalyptic number.

It is an amenable number.

345905747320 is an abundant number, since it is smaller than the sum of its proper divisors (547027340360).

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

345905747320 is a wasteful number, since it uses less digits than its factorization.

345905747320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807192 (or 4807188 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 345905747320 in words is "three hundred forty-five billion, nine hundred five million, seven hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1799 2056 2570 3598 5140 7196 8995 10280 14392 17990 35980 71960 4806917 9613834 19227668 24034585 33648419 38455336 48069170 67296838 96138340 134593676 168242095 192276680 269187352 336484190 672968380 1235377669 1345936760 2470755338 4941510676 6176888345 8647643683 9883021352 12353776690 17295287366 24707553380 34590574732 43238218415 49415106760 69181149464 86476436830 172952873660 345905747320