Search a number
-
+
345100413624 = 233472111449953
BaseRepresentation
bin1010000010110011001…
…01100110101010111000
31012222202122022102101220
411001121211212222320
521123231201213444
6422311551312040
733634624054611
oct5013145465270
91188678272356
10345100413624
111233a120660a
1256a7151b620
13267097998a5
14129bac6cc08
158e9bd34619
hex5059966ab8

345100413624 has 64 divisors (see below), whose sum is σ = 885283914240. Its totient is φ = 112052290560.

The previous prime is 345100413613. The next prime is 345100413629. The reversal of 345100413624 is 426314001543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345100413629) 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, 486969 + ... + 962984.

It is an arithmetic number, because the mean of its divisors is an integer number (13832561160).

Almost surely, 2345100413624 is an apocalyptic number.

It is an amenable number.

345100413624 is an abundant number, since it is smaller than the sum of its proper divisors (540183500616).

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

345100413624 is a wasteful number, since it uses less digits than its factorization.

345100413624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450220 (or 1450216 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 345100413624 in words is "three hundred forty-five billion, one hundred million, four hundred thirteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 211 282 376 422 564 633 844 1128 1266 1688 2532 5064 9917 19834 29751 39668 59502 79336 119004 238008 1449953 2899906 4349859 5799812 8699718 11599624 17399436 34798872 68147791 136295582 204443373 272591164 305940083 408886746 545182328 611880166 817773492 917820249 1223760332 1635546984 1835640498 2447520664 3671280996 7342561992 14379183901 28758367802 43137551703 57516735604 86275103406 115033471208 172550206812 345100413624