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344245800228 = 2231119193711187
BaseRepresentation
bin1010000001001101010…
…01100000110100100100
31012220120002012120012220
411000212221200310210
521120003411101403
6422051102112340
733604506010431
oct5004651406444
91186502176186
10344245800228
11122aa2863950
125687327b6b0
13266017047a5
1412939568b88
158e4bcc0953
hex5026a60d24

344245800228 has 96 divisors (see below), whose sum is σ = 927161571840. Its totient is φ = 98314352640.

The previous prime is 344245800221. The next prime is 344245800233. The reversal of 344245800228 is 822008542443.

It is a self number, because there is not a number n which added to its sum of digits gives 344245800228.

It is not an unprimeable number, because it can be changed into a prime (344245800221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128451 + ... + 839637.

It is an arithmetic number, because the mean of its divisors is an integer number (9657933040).

Almost surely, 2344245800228 is an apocalyptic number.

344245800228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344245800228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463580785920).

344245800228 is an abundant number, since it is smaller than the sum of its proper divisors (582915771612).

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

344245800228 is a wasteful number, since it uses less digits than its factorization.

344245800228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711417 (or 711415 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 344245800228 in words is "three hundred forty-four billion, two hundred forty-five million, eight hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 193 209 228 386 418 579 627 772 836 1158 1254 2123 2316 2508 3667 4246 6369 7334 8492 11001 12738 14668 22002 25476 40337 44004 80674 121011 161348 242022 484044 711187 1422374 2133561 2844748 4267122 7823057 8534244 13512553 15646114 23469171 27025106 31292228 40537659 46938342 54050212 81075318 93876684 137259091 148638083 162150636 274518182 297276166 411777273 445914249 549036364 594552332 823554546 891828498 1509850001 1647109092 1783656996 2607922729 3019700002 4529550003 5215845458 6039400004 7823768187 9059100006 10431690916 15647536374 18118200012 28687150019 31295072748 57374300038 86061450057 114748600076 172122900114 344245800228