Search a number
-
+
34510430550 = 23521912239901
BaseRepresentation
bin100000001000111110…
…110110000101010110
310022002002110111220110
4200020332312011112
51031134132234200
623504234143450
72331125551101
oct401076660526
9108062414813
1034510430550
11136aa269292
126831581b86
13333c98140b
1419554ab738
15d6eac7b50
hex808fb6156

34510430550 has 96 divisors (see below), whose sum is σ = 90173157120. Its totient is φ = 8710416000.

The previous prime is 34510430453. The next prime is 34510430557. The reversal of 34510430550 is 5503401543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34510430557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3480600 + ... + 3490500.

It is an arithmetic number, because the mean of its divisors is an integer number (939303720).

Almost surely, 234510430550 is an apocalyptic number.

34510430550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34510430550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086578560).

34510430550 is an abundant number, since it is smaller than the sum of its proper divisors (55662726570).

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

34510430550 is a wasteful number, since it uses less digits than its factorization.

34510430550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11158 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 34510430550 in words is "thirty-four billion, five hundred ten million, four hundred thirty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1223 1425 2446 2850 3669 6115 7338 9901 12230 18345 19802 23237 29703 30575 36690 46474 49505 59406 61150 69711 91725 99010 116185 139422 148515 183450 188119 232370 247525 297030 348555 376238 495050 564357 580925 697110 742575 940595 1128714 1161850 1485150 1742775 1881190 2821785 3485550 4702975 5643570 9405950 12108923 14108925 24217846 28217850 36326769 60544615 72653538 121089230 181633845 230069537 302723075 363267690 460139074 605446150 690208611 908169225 1150347685 1380417222 1816338450 2300695370 3451043055 5751738425 6902086110 11503476850 17255215275 34510430550