Search a number
-
+
345373790380 = 225971131715731
BaseRepresentation
bin1010000011010011110…
…00011101000010101100
31020000110200201101210221
411001221320131002230
521124311142243010
6422355034541124
733644453531443
oct5015170350254
91200420641727
10345373790380
11123521556613
1256b28b977a4
1326751305698
1412a052b1d5a
158eb5d34dda
hex5069e1d0ac

345373790380 has 48 divisors (see below), whose sum is σ = 732873458016. Its totient is φ = 136704522240.

The previous prime is 345373790371. The next prime is 345373790381. The reversal of 345373790380 is 83097373543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345373790381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21947115 + ... + 21962845.

It is an arithmetic number, because the mean of its divisors is an integer number (15268197042).

Almost surely, 2345373790380 is an apocalyptic number.

It is an amenable number.

345373790380 is an abundant number, since it is smaller than the sum of its proper divisors (387499667636).

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

345373790380 is a wasteful number, since it uses less digits than its factorization.

345373790380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27154 (or 27152 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 345373790380 in words is "three hundred forty-five billion, three hundred seventy-three million, seven hundred ninety thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 11317 15731 22634 31462 45268 56585 62924 78655 113170 157310 226340 314620 1097749 1525907 2195498 3051814 4390996 5488745 6103628 7629535 10977490 15259070 21954980 30518140 178027727 356055454 712110908 890138635 1780277270 3560554540 17268689519 34537379038 69074758076 86343447595 172686895190 345373790380