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344114430 = 235113728183
BaseRepresentation
bin10100100000101…
…100010011111110
3212222111211020220
4110200230103332
51201043130210
654051322210
711345632032
oct2440542376
9788454226
10344114430
111672752a0
12972b0366
13563a530a
14339b81c2
1520324c70
hex1482c4fe

344114430 has 64 divisors (see below), whose sum is σ = 925337088. Its totient is φ = 81164160.

The previous prime is 344114389. The next prime is 344114443. The reversal of 344114430 is 34411443.

It is a self number, because there is not a number n which added to its sum of digits gives 344114430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882 + ... + 26301.

It is an arithmetic number, because the mean of its divisors is an integer number (14458392).

Almost surely, 2344114430 is an apocalyptic number.

344114430 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 344114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462668544).

344114430 is an abundant number, since it is smaller than the sum of its proper divisors (581222658).

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

344114430 is a wasteful number, since it uses less digits than its factorization.

344114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28241.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 344114430 is about 18550.3215605552. The cubic root of 344114430 is about 700.7572960689.

Adding to 344114430 its reverse (34411443), we get a palindrome (378525873).

It can be divided in two parts, 3441 and 14430, that added together give a palindrome (17871).

The spelling of 344114430 in words is "three hundred forty-four million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 28183 56366 84549 140915 169098 281830 310013 422745 620026 845490 930039 1042771 1550065 1860078 2085542 3100130 3128313 4650195 5213855 6256626 9300390 10427710 11470481 15641565 22940962 31283130 34411443 57352405 68822886 114704810 172057215 344114430