Search a number
-
+
34550300540232 = 23326118774191073
BaseRepresentation
bin1111101101100010111100…
…11000111111110101001000
311112022222100211221100222100
413312301132120333311020
514012033003414241412
6201252104451353400
710164114440664231
oct766613630776510
9145288324840870
1034550300540232
1110010777a26524
123a600b58b2860
131638105482109
1487635a114088
153edaec825edc
hex1f6c5e63fd48

34550300540232 has 96 divisors (see below), whose sum is σ = 95158418991480. Its totient is φ = 11321929543680.

The previous prime is 34550300540143. The next prime is 34550300540341. The reversal of 34550300540232 is 23204500305543.

34550300540232 is a `hidden beast` number, since 3 + 4 + 5 + 50 + 30 + 0 + 540 + 2 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27490789703556 + 7059510836676 = 5243166^2 + 2656974^2 .

It is a super-2 number, since 2×345503005402322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6148248 + ... + 10339320.

Almost surely, 234550300540232 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 34550300540232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47579209495740).

34550300540232 is an abundant number, since it is smaller than the sum of its proper divisors (60608118451248).

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

34550300540232 is a wasteful number, since it uses less digits than its factorization.

34550300540232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193023 (or 4193016 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 34550300540232 its reverse (23204500305543), we get a palindrome (57754800845775).

The spelling of 34550300540232 in words is "thirty-four trillion, five hundred fifty billion, three hundred million, five hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 1877 2196 3754 4392 5631 7508 11262 15016 16893 22524 33786 45048 67572 114497 135144 228994 343491 457988 686982 915976 1030473 1373964 2060946 2747928 4121892 4191073 8243784 8382146 12573219 16764292 25146438 33528584 37719657 50292876 75439314 100585752 150878628 255655453 301757256 511310906 766966359 1022621812 1533932718 2045243624 2300899077 3067865436 4601798154 6135730872 7866644021 9203596308 15733288042 18407192616 23599932063 31466576084 47199864126 62933152168 70799796189 94399728252 141599592378 188799456504 283199184756 479865285281 566398369512 959730570562 1439595855843 1919461141124 2879191711686 3838922282248 4318787567529 5758383423372 8637575135058 11516766846744 17275150270116 34550300540232