Search a number
-
+
34240203252 = 2233596018941
BaseRepresentation
bin11111111000111000…
…000000100111110100
310021101020222112202000
4133320320000213310
51030110443001002
623421342215300
72321334632313
oct377070004764
9107336875660
1034240203252
111358077a542
126776b84530
1332c89a8cc8
14192b64827a
15d55eea61c
hex7f8e009f4

34240203252 has 96 divisors (see below), whose sum is σ = 90435811200. Its totient is φ = 11200032000.

The previous prime is 34240203233. The next prime is 34240203289. The reversal of 34240203252 is 25230204243.

It is a happy number.

34240203252 is a `hidden beast` number, since 3 + 4 + 2 + 402 + 0 + 3 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3825102 + ... + 3834042.

It is an arithmetic number, because the mean of its divisors is an integer number (942039700).

Almost surely, 234240203252 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 34240203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45217905600).

34240203252 is an abundant number, since it is smaller than the sum of its proper divisors (56195607948).

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

34240203252 is a wasteful number, since it uses less digits than its factorization.

34240203252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614 (or 9606 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34240203252 its reverse (25230204243), we get a palindrome (59470407495).

Subtracting from 34240203252 its reverse (25230204243), we obtain a palindrome (9009999009).

The spelling of 34240203252 in words is "thirty-four billion, two hundred forty million, two hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 601 708 1062 1202 1593 1803 2124 2404 3186 3606 5409 6372 7212 8941 10818 16227 17882 21636 26823 32454 35459 35764 53646 64908 70918 80469 106377 107292 141836 160938 212754 241407 319131 321876 425508 482814 527519 638262 957393 965628 1055038 1276524 1582557 1914786 2110076 3165114 3829572 4747671 5373541 6330228 9495342 10747082 14243013 16120623 18990684 21494164 28486026 32241246 48361869 56972052 64482492 96723738 145085607 193447476 290171214 317038919 580342428 634077838 951116757 1268155676 1902233514 2853350271 3804467028 5706700542 8560050813 11413401084 17120101626 34240203252