Search a number
-
+
34630465240500 = 2235379292240213
BaseRepresentation
bin1111101111111000010001…
…00101000011110110110100
311112121122021122222002021020
413313330020211003312310
514014341143100144000
6201353003251221140
710202653132462443
oct767741045036664
9145548248862236
1034630465240500
11100417748a5328
123a737488a77b0
13164283c761bbc
1487a1a2ac2d5a
15400c404c9ba0
hex1f7f08943db4

34630465240500 has 96 divisors (see below), whose sum is σ = 102120420380160. Its totient is φ = 9117894614400.

The previous prime is 34630465240499. The next prime is 34630465240537. The reversal of 34630465240500 is 504256403643.

It is a happy number.

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, 146001607 + ... + 146238606.

It is an arithmetic number, because the mean of its divisors is an integer number (1063754378960).

Almost surely, 234630465240500 is an apocalyptic number.

34630465240500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34630465240500 is an abundant number, since it is smaller than the sum of its proper divisors (67489955139660).

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

34630465240500 is a wasteful number, since it uses less digits than its factorization.

34630465240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292240314 (or 292240302 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 34630465240500 in words is "thirty-four trillion, six hundred thirty billion, four hundred sixty-five million, two hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 125 150 158 237 250 300 316 375 395 474 500 750 790 948 1185 1500 1580 1975 2370 3950 4740 5925 7900 9875 11850 19750 23700 29625 39500 59250 118500 292240213 584480426 876720639 1168960852 1461201065 1753441278 2922402130 3506882556 4383603195 5844804260 7306005325 8767206390 14612010650 17534412780 21918015975 23086976827 29224021300 36530026625 43836031950 46173953654 69260930481 73060053250 87672063900 92347907308 109590079875 115434884135 138521860962 146120106500 219180159750 230869768270 277043721924 346304652405 438360319500 461739536540 577174420675 692609304810 1154348841350 1385218609620 1731523262025 2308697682700 2885872103375 3463046524050 5771744206750 6926093048100 8657616310125 11543488413500 17315232620250 34630465240500