Search a number
-
+
349456189796 = 2273113710692749
BaseRepresentation
bin1010001010111010011…
…01100100100101100100
31020102000012110210000022
411011131031210211210
521211141241033141
6424312110534312
734150564413530
oct5053515444544
91212005423008
10349456189796
111252269aa72a
1257888207398
1326c5201763c
1412cb1554bc0
159154434b4b
hex515d364964

349456189796 has 96 divisors (see below), whose sum is σ = 727668480000. Its totient is φ = 143690941440.

The previous prime is 349456189777. The next prime is 349456189799. The reversal of 349456189796 is 697981654943.

It is not an unprimeable number, because it can be changed into a prime (349456189799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127119830 + ... + 127122578.

It is an arithmetic number, because the mean of its divisors is an integer number (7579880000).

Almost surely, 2349456189796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349456189796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363834240000).

349456189796 is an abundant number, since it is smaller than the sum of its proper divisors (378212290204).

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

349456189796 is a wasteful number, since it uses less digits than its factorization.

349456189796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3995 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 71.

The spelling of 349456189796 in words is "three hundred forty-nine billion, four hundred fifty-six million, one hundred eighty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 62 124 137 217 274 434 548 868 959 1069 1918 2138 2749 3836 4247 4276 5498 7483 8494 10996 14966 16988 19243 29729 29932 33139 38486 59458 66278 76972 85219 118916 132556 146453 170438 231973 292906 340876 376613 463946 585812 596533 753226 927892 1025171 1193066 1506452 2050342 2386132 2636291 2938681 4100684 4540043 5272582 5877362 9080086 10545164 11675003 11754724 18160172 20570767 23350006 31780301 41141534 46700012 63560602 81725021 82283068 91099111 127121204 163450042 182198222 326900084 364396444 402599297 637693777 805198594 1275387554 1610397188 2550775108 2818195079 5636390158 11272780316 12480578207 24961156414 49922312828 87364047449 174728094898 349456189796