Search a number
-
+
34150628036 = 22743591074493
BaseRepresentation
bin11111110011100010…
…010011101011000100
310021011000102122122102
4133303202103223010
51024420030044121
623404422251232
72316166356140
oct376342235304
9107130378572
1034150628036
1113535159338
126750b86b18
1332b3275515
14191d7ac220
15d4d20490b
hex7f3893ac4

34150628036 has 96 divisors (see below), whose sum is σ = 71754439680. Its totient is φ = 13918875264.

The previous prime is 34150628033. The next prime is 34150628129. The reversal of 34150628036 is 63082605143.

It is not an unprimeable number, because it can be changed into a prime (34150628033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7598606 + ... + 7603098.

It is an arithmetic number, because the mean of its divisors is an integer number (747442080).

Almost surely, 234150628036 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 34150628036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35877219840).

34150628036 is an abundant number, since it is smaller than the sum of its proper divisors (37603811644).

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

34150628036 is a wasteful number, since it uses less digits than its factorization.

34150628036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 34150628036 in words is "thirty-four billion, one hundred fifty million, six hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 43 59 86 107 118 172 214 236 301 413 428 602 749 826 1204 1498 1652 2537 2996 4493 4601 5074 6313 8986 9202 10148 12626 17759 17972 18404 25252 31451 32207 35518 44191 62902 64414 71036 88382 125804 128828 176764 193199 265087 271459 386398 480751 530174 542918 772796 961502 1060348 1085836 1352393 1855609 1900213 1923004 2704786 3365257 3711218 3800426 5409572 6730514 7422436 7600852 11398741 13461028 20672293 22797482 28364309 41344586 45594964 56728618 79791187 82689172 113457236 144706051 159582374 198550163 289412102 319164748 397100326 578824204 794200652 1219665287 2439330574 4878661148 8537657009 17075314018 34150628036