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345424344276 = 2231167124931271
BaseRepresentation
bin1010000011011001110…
…01010011010011010100
31020000121012211210201110
411001230321103103110
521124412113004101
6422404042255020
733645636324054
oct5015471232324
91200535753643
10345424344276
111235480454a0
1256b41ab7470
132675b925c2b
1412a0bcb1564
158eba4bdcd6
hex506ce534d4

345424344276 has 96 divisors (see below), whose sum is σ = 893128320000. Its totient is φ = 103025894400.

The previous prime is 345424344253. The next prime is 345424344281. The reversal of 345424344276 is 672443424543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11030521 + ... + 11061791.

It is an arithmetic number, because the mean of its divisors is an integer number (9303420000).

Almost surely, 2345424344276 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 345424344276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446564160000).

345424344276 is an abundant number, since it is smaller than the sum of its proper divisors (547703975724).

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

345424344276 is a wasteful number, since it uses less digits than its factorization.

345424344276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32605 (or 32603 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 48.

The spelling of 345424344276 in words is "three hundred forty-five billion, four hundred twenty-four million, three hundred forty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1249 1474 2211 2498 2948 3747 4422 4996 7494 8844 13739 14988 27478 31271 41217 54956 62542 82434 83683 93813 125084 164868 167366 187626 251049 334732 343981 375252 502098 687962 920513 1004196 1031943 1375924 1841026 2063886 2095157 2761539 3682052 4127772 4190314 5523078 6285471 8380628 11046156 12570942 23046727 25141884 39057479 46093454 69140181 78114958 92186908 117172437 138280362 156229916 234344874 276560724 429632269 468689748 859264538 1288896807 1718529076 2577793614 2616851093 5155587228 5233702186 7850553279 10467404372 15701106558 28785362023 31402213116 57570724046 86356086069 115141448092 172712172138 345424344276