Search a number
-
+
34564645232 = 241331576263
BaseRepresentation
bin100000001100001101…
…101010000101110000
310022012212110220110122
4200030031222011300
51031242022121412
623513452145412
72332354431305
oct401415520560
9108185426418
1034564645232
1113727928607
126847768268
13334ac84000
14195c7810ac
15d74736572
hex80c36a170

34564645232 has 80 divisors (see below), whose sum is σ = 73020951360. Its totient is φ = 15848771328.

The previous prime is 34564645217. The next prime is 34564645277. The reversal of 34564645232 is 23254646543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515733 + ... + 5521995.

It is an arithmetic number, because the mean of its divisors is an integer number (912761892).

Almost surely, 234564645232 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 34564645232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36510475680).

34564645232 is an abundant number, since it is smaller than the sum of its proper divisors (38456306128).

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

34564645232 is a wasteful number, since it uses less digits than its factorization.

34564645232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6435 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 34564645232 in words is "thirty-four billion, five hundred sixty-four million, six hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 157 169 208 314 338 628 676 1256 1352 2041 2197 2512 2704 4082 4394 6263 8164 8788 12526 16328 17576 25052 26533 32656 35152 50104 53066 81419 100208 106132 162838 212264 325676 344929 424528 651352 689858 983291 1058447 1302704 1379716 1966582 2116894 2759432 3933164 4233788 5518864 7866328 8467576 12782783 13759811 15732656 16935152 25565566 27519622 51131132 55039244 102262264 110078488 166176179 204524528 220156976 332352358 664704716 1329409432 2160290327 2658818864 4320580654 8641161308 17282322616 34564645232