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341100385444 = 227213232092
BaseRepresentation
bin1001111011010110010…
…10101101010010100100
31012121102212112221022001
410331223022231102210
521042033144313234
6420411021015044
733433533303100
oct4755312552244
91177385487261
10341100385444
111217293031a5
12561359b4484
132621cb68400
141271b90c900
158d15aa5d14
hex4f6b2ad4a4

341100385444 has 81 divisors (see below), whose sum is σ = 752140158147. Its totient is φ = 134898761088.

The previous prime is 341100385441. The next prime is 341100385447. The reversal of 341100385444 is 444583001143.

The square root of 341100385444 is 584038.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (341100385441) and next prime (341100385447).

It can be written as a sum of positive squares in 4 ways, for example, as 35167500900 + 305932884544 = 187530^2 + 553112^2 .

It is not an unprimeable number, because it can be changed into a prime (341100385441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106293312 + ... + 106296520.

Almost surely, 2341100385444 is an apocalyptic number.

341100385444 is the 584038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341100385444

341100385444 is an abundant number, since it is smaller than the sum of its proper divisors (411039772703).

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

341100385444 is an equidigital number, since it uses as much as digits as its factorization.

341100385444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 341100385444 its reverse (444583001143), we get a palindrome (785683386587).

The spelling of 341100385444 in words is "three hundred forty-one billion, one hundred million, three hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 3209 4732 6418 8281 12836 16562 22463 33124 41717 44926 83434 89852 157241 166868 292019 314482 542321 584038 628964 1084642 1168076 2044133 2169284 3796247 4088266 7592494 8176532 10297681 15184988 20595362 26573729 41190724 53147458 72083767 106294916 133869853 144167534 267739706 288335068 504586369 535479412 937088971 1009172738 1740308089 1874177942 2018345476 3480616178 3748355884 6559622797 6961232356 12182156623 13119245594 24364313246 26238491188 48728626492 85275096361 170550192722 341100385444