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3434143110 = 235233125179
BaseRepresentation
bin1100110010110000…
…1101110110000110
322212022221112201120
43030230031312012
524013120034420
61324433334410
7151046510016
oct31454156606
98768845646
103434143110
111502536602
127ba107406
1342961b858
14248137c46
1515174dd40
hexccb0dd86

3434143110 has 96 divisors (see below), whose sum is σ = 8888382720. Its totient is φ = 847535040.

The previous prime is 3434143093. The next prime is 3434143129. The reversal of 3434143110 is 113414343.

3434143110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660501 + ... + 665679.

It is an arithmetic number, because the mean of its divisors is an integer number (92587320).

Almost surely, 23434143110 is an apocalyptic number.

3434143110 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 3434143110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444191360).

3434143110 is an abundant number, since it is smaller than the sum of its proper divisors (5454239610).

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

3434143110 is a wasteful number, since it uses less digits than its factorization.

3434143110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3434143110 is about 58601.5623511865. The cubic root of 3434143110 is about 1508.7112536603.

Adding to 3434143110 its reverse (113414343), we get a palindrome (3547557453).

The spelling of 3434143110 in words is "three billion, four hundred thirty-four million, one hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 961 1426 1922 2139 2883 3565 4278 4805 5179 5766 7130 9610 10358 10695 14415 15537 21390 22103 25895 28830 31074 44206 51790 66309 77685 110515 119117 132618 155370 160549 221030 238234 321098 331545 357351 481647 595585 663090 714702 802745 963294 1191170 1605490 1786755 2408235 3573510 3692627 4816470 4977019 7385254 9954038 11077881 14931057 18463135 22155762 24885095 29862114 36926270 49770190 55389405 74655285 110778810 114471437 149310570 228942874 343414311 572357185 686828622 1144714370 1717071555 3434143110